Properties

Label 690.2.w.a.37.1
Level $690$
Weight $2$
Character 690.37
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 37.1
Character \(\chi\) \(=\) 690.37
Dual form 690.2.w.a.373.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.877679 - 0.479249i) q^{2} +(-0.997452 - 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(-2.15875 - 0.582912i) q^{5} +(0.841254 + 0.540641i) q^{6} +(0.0886059 + 0.237562i) q^{7} +(-0.0713392 - 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +O(q^{10})\) \(q+(-0.877679 - 0.479249i) q^{2} +(-0.997452 - 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(-2.15875 - 0.582912i) q^{5} +(0.841254 + 0.540641i) q^{6} +(0.0886059 + 0.237562i) q^{7} +(-0.0713392 - 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +(1.61533 + 1.54619i) q^{10} +(0.594895 - 2.02602i) q^{11} +(-0.479249 - 0.877679i) q^{12} +(-0.382567 - 0.142690i) q^{13} +(0.0360836 - 0.250967i) q^{14} +(2.11167 + 0.735431i) q^{15} +(-0.415415 + 0.909632i) q^{16} +(-7.97727 + 1.73535i) q^{17} +(-0.800541 - 0.599278i) q^{18} +(3.05348 - 1.96235i) q^{19} +(-0.676733 - 2.13120i) q^{20} +(-0.0714327 - 0.243277i) q^{21} +(-1.49310 + 1.49310i) q^{22} +(2.70000 + 3.96358i) q^{23} +1.00000i q^{24} +(4.32043 + 2.51673i) q^{25} +(0.267387 + 0.308581i) q^{26} +(-0.977147 - 0.212565i) q^{27} +(-0.151946 + 0.202976i) q^{28} +(1.60703 - 2.50059i) q^{29} +(-1.50091 - 1.65749i) q^{30} +(-3.97959 + 4.59270i) q^{31} +(0.800541 - 0.599278i) q^{32} +(-0.737914 + 1.97842i) q^{33} +(7.83314 + 2.30002i) q^{34} +(-0.0528006 - 0.564486i) q^{35} +(0.415415 + 0.909632i) q^{36} +(5.63502 + 7.52751i) q^{37} +(-3.62043 + 0.258938i) q^{38} +(0.371412 + 0.169618i) q^{39} +(-0.427424 + 2.19484i) q^{40} +(1.69304 + 11.7754i) q^{41} +(-0.0538955 + 0.247754i) q^{42} +(-0.646245 + 9.03569i) q^{43} +(2.02602 - 0.594895i) q^{44} +(-2.05382 - 0.884202i) q^{45} +(-0.470191 - 4.77273i) q^{46} +(-2.48616 - 2.48616i) q^{47} +(0.479249 - 0.877679i) q^{48} +(5.24166 - 4.54193i) q^{49} +(-2.58581 - 4.27944i) q^{50} +(8.08074 - 1.16183i) q^{51} +(-0.0867927 - 0.398980i) q^{52} +(7.18696 - 2.68060i) q^{53} +(0.755750 + 0.654861i) q^{54} +(-2.46523 + 4.02692i) q^{55} +(0.230635 - 0.105328i) q^{56} +(-3.18569 + 1.73952i) q^{57} +(-2.60887 + 1.42455i) q^{58} +(3.05706 - 1.39611i) q^{59} +(0.522970 + 2.17405i) q^{60} +(0.0803523 + 0.0696257i) q^{61} +(5.69385 - 2.12370i) q^{62} +(0.0538955 + 0.247754i) q^{63} +(-0.989821 + 0.142315i) q^{64} +(0.742691 + 0.531035i) q^{65} +(1.59581 - 1.38278i) q^{66} +(-6.97786 + 12.7790i) q^{67} +(-5.77270 - 5.77270i) q^{68} +(-2.41036 - 4.14610i) q^{69} +(-0.224188 + 0.520742i) q^{70} +(-7.61707 + 2.23657i) q^{71} +(0.0713392 - 0.997452i) q^{72} +(1.35911 - 6.24771i) q^{73} +(-1.33819 - 9.30732i) q^{74} +(-4.12988 - 2.81853i) q^{75} +(3.30167 + 1.50782i) q^{76} +(0.534017 - 0.0381936i) q^{77} +(-0.244691 - 0.326870i) q^{78} +(6.13266 + 13.4287i) q^{79} +(1.42701 - 1.72152i) q^{80} +(0.959493 + 0.281733i) q^{81} +(4.15738 - 11.1464i) q^{82} +(-1.45447 + 1.08880i) q^{83} +(0.166039 - 0.191619i) q^{84} +(18.2325 + 0.903861i) q^{85} +(4.89754 - 7.62072i) q^{86} +(-1.78133 + 2.37958i) q^{87} +(-2.06330 - 0.448844i) q^{88} +(9.72027 + 11.2178i) q^{89} +(1.37884 + 1.76034i) q^{90} -0.103526i q^{91} +(-1.87465 + 4.41426i) q^{92} +(4.29709 - 4.29709i) q^{93} +(0.990561 + 3.37354i) q^{94} +(-7.73559 + 2.45632i) q^{95} +(-0.841254 + 0.540641i) q^{96} +(-10.3179 - 7.72389i) q^{97} +(-6.77721 + 1.47429i) q^{98} +(0.877173 - 1.92074i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{6} + O(q^{10}) \) \( 240q - 24q^{6} + 44q^{10} - 16q^{13} + 24q^{16} + 44q^{21} + 72q^{23} + 16q^{25} + 44q^{28} - 16q^{31} - 44q^{33} - 24q^{36} + 44q^{37} + 88q^{43} - 8q^{46} + 48q^{47} + 8q^{50} - 16q^{52} + 56q^{55} + 44q^{57} + 16q^{58} + 88q^{61} + 8q^{62} + 88q^{65} - 132q^{67} + 56q^{70} - 64q^{71} + 16q^{73} - 32q^{75} - 16q^{77} - 16q^{78} + 24q^{81} - 24q^{82} + 92q^{85} - 16q^{87} - 44q^{88} + 116q^{92} - 80q^{93} + 20q^{95} + 24q^{96} - 88q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{21}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.877679 0.479249i −0.620613 0.338880i
\(3\) −0.997452 0.0713392i −0.575879 0.0411877i
\(4\) 0.540641 + 0.841254i 0.270320 + 0.420627i
\(5\) −2.15875 0.582912i −0.965424 0.260686i
\(6\) 0.841254 + 0.540641i 0.343440 + 0.220716i
\(7\) 0.0886059 + 0.237562i 0.0334899 + 0.0897899i 0.952618 0.304168i \(-0.0983784\pi\)
−0.919129 + 0.393958i \(0.871106\pi\)
\(8\) −0.0713392 0.997452i −0.0252222 0.352653i
\(9\) 0.989821 + 0.142315i 0.329940 + 0.0474383i
\(10\) 1.61533 + 1.54619i 0.510813 + 0.488948i
\(11\) 0.594895 2.02602i 0.179367 0.610869i −0.819897 0.572512i \(-0.805969\pi\)
0.999264 0.0383579i \(-0.0122127\pi\)
\(12\) −0.479249 0.877679i −0.138347 0.253364i
\(13\) −0.382567 0.142690i −0.106105 0.0395751i 0.295851 0.955234i \(-0.404397\pi\)
−0.401956 + 0.915659i \(0.631670\pi\)
\(14\) 0.0360836 0.250967i 0.00964376 0.0670738i
\(15\) 2.11167 + 0.735431i 0.545230 + 0.189887i
\(16\) −0.415415 + 0.909632i −0.103854 + 0.227408i
\(17\) −7.97727 + 1.73535i −1.93477 + 0.420884i −0.937415 + 0.348214i \(0.886788\pi\)
−0.997356 + 0.0726700i \(0.976848\pi\)
\(18\) −0.800541 0.599278i −0.188689 0.141251i
\(19\) 3.05348 1.96235i 0.700516 0.450194i −0.141294 0.989968i \(-0.545126\pi\)
0.841810 + 0.539773i \(0.181490\pi\)
\(20\) −0.676733 2.13120i −0.151322 0.476552i
\(21\) −0.0714327 0.243277i −0.0155879 0.0530875i
\(22\) −1.49310 + 1.49310i −0.318329 + 0.318329i
\(23\) 2.70000 + 3.96358i 0.562989 + 0.826464i
\(24\) 1.00000i 0.204124i
\(25\) 4.32043 + 2.51673i 0.864085 + 0.503346i
\(26\) 0.267387 + 0.308581i 0.0524388 + 0.0605176i
\(27\) −0.977147 0.212565i −0.188052 0.0409082i
\(28\) −0.151946 + 0.202976i −0.0287150 + 0.0383588i
\(29\) 1.60703 2.50059i 0.298419 0.464348i −0.659371 0.751817i \(-0.729177\pi\)
0.957790 + 0.287469i \(0.0928138\pi\)
\(30\) −1.50091 1.65749i −0.274028 0.302614i
\(31\) −3.97959 + 4.59270i −0.714756 + 0.824873i −0.990666 0.136311i \(-0.956475\pi\)
0.275910 + 0.961184i \(0.411021\pi\)
\(32\) 0.800541 0.599278i 0.141517 0.105938i
\(33\) −0.737914 + 1.97842i −0.128454 + 0.344399i
\(34\) 7.83314 + 2.30002i 1.34337 + 0.394450i
\(35\) −0.0528006 0.564486i −0.00892493 0.0954156i
\(36\) 0.415415 + 0.909632i 0.0692358 + 0.151605i
\(37\) 5.63502 + 7.52751i 0.926392 + 1.23752i 0.971138 + 0.238517i \(0.0766612\pi\)
−0.0447460 + 0.998998i \(0.514248\pi\)
\(38\) −3.62043 + 0.258938i −0.587311 + 0.0420053i
\(39\) 0.371412 + 0.169618i 0.0594736 + 0.0271607i
\(40\) −0.427424 + 2.19484i −0.0675816 + 0.347034i
\(41\) 1.69304 + 11.7754i 0.264409 + 1.83900i 0.498625 + 0.866818i \(0.333839\pi\)
−0.234216 + 0.972185i \(0.575252\pi\)
\(42\) −0.0538955 + 0.247754i −0.00831625 + 0.0382292i
\(43\) −0.646245 + 9.03569i −0.0985515 + 1.37793i 0.672000 + 0.740552i \(0.265436\pi\)
−0.770551 + 0.637378i \(0.780019\pi\)
\(44\) 2.02602 0.594895i 0.305435 0.0896837i
\(45\) −2.05382 0.884202i −0.306166 0.131809i
\(46\) −0.470191 4.77273i −0.0693258 0.703700i
\(47\) −2.48616 2.48616i −0.362644 0.362644i 0.502142 0.864785i \(-0.332546\pi\)
−0.864785 + 0.502142i \(0.832546\pi\)
\(48\) 0.479249 0.877679i 0.0691736 0.126682i
\(49\) 5.24166 4.54193i 0.748809 0.648847i
\(50\) −2.58581 4.27944i −0.365688 0.605204i
\(51\) 8.08074 1.16183i 1.13153 0.162689i
\(52\) −0.0867927 0.398980i −0.0120360 0.0553285i
\(53\) 7.18696 2.68060i 0.987205 0.368209i 0.196566 0.980491i \(-0.437021\pi\)
0.790639 + 0.612282i \(0.209748\pi\)
\(54\) 0.755750 + 0.654861i 0.102844 + 0.0891153i
\(55\) −2.46523 + 4.02692i −0.332411 + 0.542989i
\(56\) 0.230635 0.105328i 0.0308199 0.0140750i
\(57\) −3.18569 + 1.73952i −0.421955 + 0.230405i
\(58\) −2.60887 + 1.42455i −0.342561 + 0.187052i
\(59\) 3.05706 1.39611i 0.397996 0.181759i −0.206355 0.978477i \(-0.566160\pi\)
0.604350 + 0.796719i \(0.293433\pi\)
\(60\) 0.522970 + 2.17405i 0.0675151 + 0.280669i
\(61\) 0.0803523 + 0.0696257i 0.0102881 + 0.00891466i 0.659990 0.751275i \(-0.270561\pi\)
−0.649702 + 0.760189i \(0.725106\pi\)
\(62\) 5.69385 2.12370i 0.723120 0.269710i
\(63\) 0.0538955 + 0.247754i 0.00679019 + 0.0312140i
\(64\) −0.989821 + 0.142315i −0.123728 + 0.0177894i
\(65\) 0.742691 + 0.531035i 0.0921195 + 0.0658668i
\(66\) 1.59581 1.38278i 0.196430 0.170208i
\(67\) −6.97786 + 12.7790i −0.852482 + 1.56120i −0.0250166 + 0.999687i \(0.507964\pi\)
−0.827465 + 0.561517i \(0.810218\pi\)
\(68\) −5.77270 5.77270i −0.700043 0.700043i
\(69\) −2.41036 4.14610i −0.290174 0.499132i
\(70\) −0.224188 + 0.520742i −0.0267955 + 0.0622406i
\(71\) −7.61707 + 2.23657i −0.903980 + 0.265432i −0.700505 0.713648i \(-0.747042\pi\)
−0.203475 + 0.979080i \(0.565224\pi\)
\(72\) 0.0713392 0.997452i 0.00840740 0.117551i
\(73\) 1.35911 6.24771i 0.159071 0.731239i −0.826631 0.562744i \(-0.809746\pi\)
0.985703 0.168495i \(-0.0538907\pi\)
\(74\) −1.33819 9.30732i −0.155561 1.08195i
\(75\) −4.12988 2.81853i −0.476877 0.325456i
\(76\) 3.30167 + 1.50782i 0.378728 + 0.172959i
\(77\) 0.534017 0.0381936i 0.0608569 0.00435257i
\(78\) −0.244691 0.326870i −0.0277059 0.0370107i
\(79\) 6.13266 + 13.4287i 0.689978 + 1.51084i 0.851714 + 0.524008i \(0.175564\pi\)
−0.161735 + 0.986834i \(0.551709\pi\)
\(80\) 1.42701 1.72152i 0.159545 0.192472i
\(81\) 0.959493 + 0.281733i 0.106610 + 0.0313036i
\(82\) 4.15738 11.1464i 0.459106 1.23091i
\(83\) −1.45447 + 1.08880i −0.159649 + 0.119512i −0.676115 0.736796i \(-0.736338\pi\)
0.516467 + 0.856307i \(0.327247\pi\)
\(84\) 0.166039 0.191619i 0.0181163 0.0209073i
\(85\) 18.2325 + 0.903861i 1.97759 + 0.0980375i
\(86\) 4.89754 7.62072i 0.528115 0.821764i
\(87\) −1.78133 + 2.37958i −0.190979 + 0.255117i
\(88\) −2.06330 0.448844i −0.219949 0.0478469i
\(89\) 9.72027 + 11.2178i 1.03035 + 1.18908i 0.981733 + 0.190265i \(0.0609348\pi\)
0.0486133 + 0.998818i \(0.484520\pi\)
\(90\) 1.37884 + 1.76034i 0.145343 + 0.185556i
\(91\) 0.103526i 0.0108525i
\(92\) −1.87465 + 4.41426i −0.195446 + 0.460218i
\(93\) 4.29709 4.29709i 0.445588 0.445588i
\(94\) 0.990561 + 3.37354i 0.102169 + 0.347954i
\(95\) −7.73559 + 2.45632i −0.793654 + 0.252013i
\(96\) −0.841254 + 0.540641i −0.0858601 + 0.0551789i
\(97\) −10.3179 7.72389i −1.04762 0.784242i −0.0706294 0.997503i \(-0.522501\pi\)
−0.976995 + 0.213261i \(0.931592\pi\)
\(98\) −6.77721 + 1.47429i −0.684602 + 0.148926i
\(99\) 0.877173 1.92074i 0.0881592 0.193042i
\(100\) 0.218593 + 4.99522i 0.0218593 + 0.499522i
\(101\) 0.529176 3.68050i 0.0526549 0.366223i −0.946409 0.322970i \(-0.895319\pi\)
0.999064 0.0432531i \(-0.0137722\pi\)
\(102\) −7.64910 2.85297i −0.757374 0.282486i
\(103\) −6.31658 11.5680i −0.622391 1.13982i −0.978669 0.205444i \(-0.934136\pi\)
0.356278 0.934380i \(-0.384046\pi\)
\(104\) −0.115034 + 0.391771i −0.0112801 + 0.0384163i
\(105\) 0.0123961 + 0.566815i 0.00120973 + 0.0553155i
\(106\) −7.59252 1.09164i −0.737451 0.106029i
\(107\) 1.38753 + 19.4002i 0.134137 + 1.87549i 0.406994 + 0.913431i \(0.366577\pi\)
−0.272856 + 0.962055i \(0.587968\pi\)
\(108\) −0.349464 0.936950i −0.0336272 0.0901580i
\(109\) 8.34335 + 5.36195i 0.799148 + 0.513581i 0.875338 0.483512i \(-0.160639\pi\)
−0.0761896 + 0.997093i \(0.524275\pi\)
\(110\) 4.09357 2.35288i 0.390307 0.224338i
\(111\) −5.08366 7.91033i −0.482520 0.750815i
\(112\) −0.252902 0.0180879i −0.0238970 0.00170915i
\(113\) −7.39815 4.03970i −0.695960 0.380023i 0.0919919 0.995760i \(-0.470677\pi\)
−0.787952 + 0.615737i \(0.788858\pi\)
\(114\) 3.62968 0.339951
\(115\) −3.51821 10.1303i −0.328075 0.944652i
\(116\) 2.97246 0.275986
\(117\) −0.358366 0.195682i −0.0331309 0.0180909i
\(118\) −3.35221 0.239755i −0.308596 0.0220712i
\(119\) −1.11908 1.74133i −0.102586 0.159627i
\(120\) 0.582912 2.15875i 0.0532124 0.197066i
\(121\) 5.50291 + 3.53651i 0.500265 + 0.321501i
\(122\) −0.0371555 0.0996178i −0.00336390 0.00901897i
\(123\) −0.848683 11.8661i −0.0765232 1.06993i
\(124\) −6.01515 0.864848i −0.540177 0.0776657i
\(125\) −7.85970 7.95142i −0.702993 0.711197i
\(126\) 0.0714327 0.243277i 0.00636373 0.0216729i
\(127\) −3.46160 6.33944i −0.307167 0.562535i 0.677806 0.735241i \(-0.262931\pi\)
−0.984973 + 0.172706i \(0.944749\pi\)
\(128\) 0.936950 + 0.349464i 0.0828154 + 0.0308886i
\(129\) 1.28920 8.96657i 0.113508 0.789462i
\(130\) −0.397346 0.822012i −0.0348496 0.0720953i
\(131\) 0.674741 1.47748i 0.0589524 0.129088i −0.877863 0.478912i \(-0.841031\pi\)
0.936815 + 0.349824i \(0.113759\pi\)
\(132\) −2.06330 + 0.448844i −0.179587 + 0.0390668i
\(133\) 0.736736 + 0.551514i 0.0638831 + 0.0478223i
\(134\) 12.2487 7.87173i 1.05812 0.680014i
\(135\) 1.98551 + 1.02847i 0.170886 + 0.0885163i
\(136\) 2.30002 + 7.83314i 0.197225 + 0.671686i
\(137\) 4.74965 4.74965i 0.405790 0.405790i −0.474478 0.880268i \(-0.657363\pi\)
0.880268 + 0.474478i \(0.157363\pi\)
\(138\) 0.128510 + 4.79411i 0.0109395 + 0.408102i
\(139\) 1.10890i 0.0940555i −0.998894 0.0470277i \(-0.985025\pi\)
0.998894 0.0470277i \(-0.0149749\pi\)
\(140\) 0.446330 0.349603i 0.0377218 0.0295468i
\(141\) 2.30246 + 2.65719i 0.193903 + 0.223775i
\(142\) 7.75722 + 1.68748i 0.650971 + 0.141610i
\(143\) −0.516680 + 0.690204i −0.0432070 + 0.0577178i
\(144\) −0.540641 + 0.841254i −0.0450534 + 0.0701045i
\(145\) −4.92681 + 4.46140i −0.409150 + 0.370499i
\(146\) −4.18707 + 4.83213i −0.346524 + 0.399910i
\(147\) −5.55232 + 4.15642i −0.457948 + 0.342816i
\(148\) −3.28602 + 8.81016i −0.270109 + 0.724191i
\(149\) −13.4814 3.95849i −1.10444 0.324292i −0.321824 0.946800i \(-0.604296\pi\)
−0.782614 + 0.622507i \(0.786114\pi\)
\(150\) 2.27393 + 4.45300i 0.185665 + 0.363586i
\(151\) −4.65696 10.1973i −0.378978 0.829845i −0.998976 0.0452423i \(-0.985594\pi\)
0.619998 0.784603i \(-0.287133\pi\)
\(152\) −2.17519 2.90571i −0.176431 0.235684i
\(153\) −8.14303 + 0.582401i −0.658325 + 0.0470844i
\(154\) −0.487000 0.222405i −0.0392436 0.0179219i
\(155\) 11.2681 7.59474i 0.905076 0.610024i
\(156\) 0.0581087 + 0.404155i 0.00465242 + 0.0323583i
\(157\) 0.459072 2.11032i 0.0366380 0.168422i −0.955192 0.295985i \(-0.904352\pi\)
0.991830 + 0.127563i \(0.0407156\pi\)
\(158\) 1.05316 14.7251i 0.0837850 1.17147i
\(159\) −7.35988 + 2.16106i −0.583677 + 0.171383i
\(160\) −2.07750 + 0.827047i −0.164241 + 0.0653838i
\(161\) −0.702359 + 0.992614i −0.0553537 + 0.0782289i
\(162\) −0.707107 0.707107i −0.0555556 0.0555556i
\(163\) 0.0317034 0.0580604i 0.00248320 0.00454764i −0.876434 0.481521i \(-0.840084\pi\)
0.878918 + 0.476974i \(0.158266\pi\)
\(164\) −8.99074 + 7.79052i −0.702059 + 0.608337i
\(165\) 2.74622 3.84079i 0.213793 0.299005i
\(166\) 1.79837 0.258566i 0.139580 0.0200686i
\(167\) −0.170189 0.782348i −0.0131697 0.0605399i 0.970093 0.242733i \(-0.0780440\pi\)
−0.983263 + 0.182193i \(0.941680\pi\)
\(168\) −0.237562 + 0.0886059i −0.0183283 + 0.00683609i
\(169\) −9.69875 8.40401i −0.746058 0.646463i
\(170\) −15.5691 9.53121i −1.19410 0.731010i
\(171\) 3.30167 1.50782i 0.252485 0.115306i
\(172\) −7.95069 + 4.34141i −0.606235 + 0.331029i
\(173\) 0.152275 0.0831486i 0.0115773 0.00632167i −0.473450 0.880821i \(-0.656992\pi\)
0.485027 + 0.874499i \(0.338810\pi\)
\(174\) 2.70384 1.23480i 0.204978 0.0936103i
\(175\) −0.215063 + 1.24936i −0.0162572 + 0.0944431i
\(176\) 1.59581 + 1.38278i 0.120289 + 0.104231i
\(177\) −3.14887 + 1.17447i −0.236684 + 0.0882785i
\(178\) −3.15516 14.5040i −0.236489 1.08712i
\(179\) 4.32502 0.621844i 0.323267 0.0464788i 0.0212291 0.999775i \(-0.493242\pi\)
0.302038 + 0.953296i \(0.402333\pi\)
\(180\) −0.366542 2.20582i −0.0273205 0.164412i
\(181\) −8.61336 + 7.46352i −0.640226 + 0.554759i −0.913327 0.407226i \(-0.866496\pi\)
0.273101 + 0.961985i \(0.411951\pi\)
\(182\) −0.0496149 + 0.0908629i −0.00367770 + 0.00673520i
\(183\) −0.0751806 0.0751806i −0.00555751 0.00555751i
\(184\) 3.76087 2.97588i 0.277255 0.219385i
\(185\) −7.77674 19.5348i −0.571758 1.43622i
\(186\) −5.83085 + 1.71209i −0.427538 + 0.125537i
\(187\) −1.22977 + 17.1945i −0.0899300 + 1.25739i
\(188\) 0.747371 3.43561i 0.0545077 0.250568i
\(189\) −0.0360836 0.250967i −0.00262470 0.0182552i
\(190\) 7.96655 + 1.55141i 0.577954 + 0.112551i
\(191\) −21.8098 9.96021i −1.57810 0.720696i −0.582366 0.812927i \(-0.697873\pi\)
−0.995738 + 0.0922309i \(0.970600\pi\)
\(192\) 0.997452 0.0713392i 0.0719849 0.00514846i
\(193\) 0.796788 + 1.06438i 0.0573540 + 0.0766160i 0.828301 0.560283i \(-0.189308\pi\)
−0.770947 + 0.636899i \(0.780217\pi\)
\(194\) 5.35414 + 11.7239i 0.384405 + 0.841730i
\(195\) −0.702915 0.582665i −0.0503368 0.0417255i
\(196\) 6.65477 + 1.95402i 0.475341 + 0.139573i
\(197\) −4.12353 + 11.0556i −0.293789 + 0.787679i 0.703262 + 0.710931i \(0.251726\pi\)
−0.997051 + 0.0767476i \(0.975546\pi\)
\(198\) −1.69039 + 1.26541i −0.120131 + 0.0899287i
\(199\) −11.3806 + 13.1339i −0.806749 + 0.931038i −0.998731 0.0503601i \(-0.983963\pi\)
0.191982 + 0.981398i \(0.438509\pi\)
\(200\) 2.20210 4.48896i 0.155712 0.317417i
\(201\) 7.87173 12.2487i 0.555229 0.863953i
\(202\) −2.22832 + 2.97669i −0.156784 + 0.209439i
\(203\) 0.736438 + 0.160202i 0.0516878 + 0.0112440i
\(204\) 5.34618 + 6.16982i 0.374307 + 0.431973i
\(205\) 3.20915 26.4070i 0.224137 1.84434i
\(206\) 13.1802i 0.918306i
\(207\) 2.10844 + 4.30749i 0.146547 + 0.299391i
\(208\) 0.288719 0.288719i 0.0200191 0.0200191i
\(209\) −2.15928 7.35382i −0.149360 0.508674i
\(210\) 0.260766 0.503422i 0.0179945 0.0347394i
\(211\) −3.24223 + 2.08365i −0.223204 + 0.143445i −0.647464 0.762096i \(-0.724171\pi\)
0.424260 + 0.905540i \(0.360534\pi\)
\(212\) 6.14063 + 4.59682i 0.421740 + 0.315711i
\(213\) 7.75722 1.68748i 0.531516 0.115624i
\(214\) 8.07971 17.6921i 0.552318 1.20941i
\(215\) 6.66210 19.1291i 0.454351 1.30459i
\(216\) −0.142315 + 0.989821i −0.00968330 + 0.0673488i
\(217\) −1.44366 0.538459i −0.0980023 0.0365530i
\(218\) −4.75308 8.70461i −0.321919 0.589551i
\(219\) −1.80135 + 6.13483i −0.121724 + 0.414554i
\(220\) −4.72046 + 0.103235i −0.318253 + 0.00696011i
\(221\) 3.29945 + 0.474390i 0.221945 + 0.0319109i
\(222\) 0.670804 + 9.37907i 0.0450214 + 0.629482i
\(223\) −5.66409 15.1860i −0.379296 1.01693i −0.976628 0.214937i \(-0.931045\pi\)
0.597332 0.801994i \(-0.296227\pi\)
\(224\) 0.213298 + 0.137078i 0.0142516 + 0.00915893i
\(225\) 3.91828 + 3.10597i 0.261219 + 0.207065i
\(226\) 4.55718 + 7.09112i 0.303139 + 0.471694i
\(227\) 20.1384 + 1.44033i 1.33664 + 0.0955981i 0.721276 0.692648i \(-0.243556\pi\)
0.615360 + 0.788246i \(0.289011\pi\)
\(228\) −3.18569 1.73952i −0.210978 0.115203i
\(229\) 3.15741 0.208648 0.104324 0.994543i \(-0.466732\pi\)
0.104324 + 0.994543i \(0.466732\pi\)
\(230\) −1.76706 + 10.5772i −0.116516 + 0.697441i
\(231\) −0.535381 −0.0352255
\(232\) −2.60887 1.42455i −0.171280 0.0935262i
\(233\) 23.2549 + 1.66323i 1.52348 + 0.108962i 0.807796 0.589462i \(-0.200660\pi\)
0.715685 + 0.698423i \(0.246115\pi\)
\(234\) 0.220749 + 0.343493i 0.0144308 + 0.0224548i
\(235\) 3.91779 + 6.81622i 0.255568 + 0.444641i
\(236\) 2.82726 + 1.81697i 0.184039 + 0.118275i
\(237\) −5.15905 13.8319i −0.335116 0.898481i
\(238\) 0.147667 + 2.06465i 0.00957181 + 0.133831i
\(239\) −8.14124 1.17053i −0.526613 0.0757156i −0.126120 0.992015i \(-0.540252\pi\)
−0.400494 + 0.916300i \(0.631161\pi\)
\(240\) −1.54619 + 1.61533i −0.0998061 + 0.104269i
\(241\) 3.39311 11.5559i 0.218569 0.744378i −0.775081 0.631862i \(-0.782291\pi\)
0.993650 0.112516i \(-0.0358910\pi\)
\(242\) −3.13492 5.74118i −0.201520 0.369057i
\(243\) −0.936950 0.349464i −0.0601054 0.0224181i
\(244\) −0.0151311 + 0.105239i −0.000968670 + 0.00673725i
\(245\) −13.9630 + 6.74947i −0.892063 + 0.431208i
\(246\) −4.94196 + 10.8214i −0.315088 + 0.689947i
\(247\) −1.44817 + 0.315030i −0.0921447 + 0.0200448i
\(248\) 4.86490 + 3.64182i 0.308921 + 0.231256i
\(249\) 1.52844 0.982268i 0.0968609 0.0622487i
\(250\) 3.08758 + 10.7455i 0.195276 + 0.679608i
\(251\) 7.79498 + 26.5473i 0.492015 + 1.67565i 0.713637 + 0.700516i \(0.247047\pi\)
−0.221622 + 0.975133i \(0.571135\pi\)
\(252\) −0.179285 + 0.179285i −0.0112939 + 0.0112939i
\(253\) 9.63654 3.11235i 0.605844 0.195672i
\(254\) 7.22296i 0.453209i
\(255\) −18.1216 2.20225i −1.13482 0.137910i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) 10.8460 + 2.35940i 0.676555 + 0.147176i 0.537699 0.843137i \(-0.319294\pi\)
0.138856 + 0.990313i \(0.455657\pi\)
\(258\) −5.42872 + 7.25192i −0.337977 + 0.451485i
\(259\) −1.28895 + 2.00565i −0.0800915 + 0.124625i
\(260\) −0.0452062 + 0.911891i −0.00280357 + 0.0565531i
\(261\) 1.94655 2.24644i 0.120488 0.139051i
\(262\) −1.30029 + 0.973382i −0.0803319 + 0.0601357i
\(263\) −9.81307 + 26.3098i −0.605100 + 1.62233i 0.166366 + 0.986064i \(0.446797\pi\)
−0.771466 + 0.636271i \(0.780476\pi\)
\(264\) 2.02602 + 0.594895i 0.124693 + 0.0366132i
\(265\) −17.0774 + 1.59738i −1.04906 + 0.0981262i
\(266\) −0.382305 0.837132i −0.0234406 0.0513278i
\(267\) −8.89523 11.8826i −0.544379 0.727206i
\(268\) −14.5229 + 1.03870i −0.887127 + 0.0634486i
\(269\) 10.4022 + 4.75051i 0.634231 + 0.289644i 0.706469 0.707744i \(-0.250287\pi\)
−0.0722382 + 0.997387i \(0.523014\pi\)
\(270\) −1.24975 1.85422i −0.0760574 0.112844i
\(271\) 1.93386 + 13.4503i 0.117474 + 0.817047i 0.960322 + 0.278895i \(0.0899683\pi\)
−0.842848 + 0.538152i \(0.819123\pi\)
\(272\) 1.73535 7.97727i 0.105221 0.483693i
\(273\) −0.00738548 + 0.103263i −0.000446990 + 0.00624973i
\(274\) −6.44493 + 1.89240i −0.389352 + 0.114324i
\(275\) 7.66915 7.25610i 0.462467 0.437559i
\(276\) 2.18478 4.26928i 0.131508 0.256980i
\(277\) 8.64431 + 8.64431i 0.519387 + 0.519387i 0.917386 0.397999i \(-0.130295\pi\)
−0.397999 + 0.917386i \(0.630295\pi\)
\(278\) −0.531438 + 0.973256i −0.0318735 + 0.0583720i
\(279\) −4.59270 + 3.97959i −0.274958 + 0.238252i
\(280\) −0.559281 + 0.0929361i −0.0334235 + 0.00555399i
\(281\) −2.27478 + 0.327063i −0.135702 + 0.0195110i −0.209831 0.977738i \(-0.567291\pi\)
0.0741292 + 0.997249i \(0.476382\pi\)
\(282\) −0.747371 3.43561i −0.0445053 0.204588i
\(283\) 18.4459 6.87998i 1.09650 0.408972i 0.264857 0.964288i \(-0.414675\pi\)
0.831640 + 0.555315i \(0.187402\pi\)
\(284\) −5.99962 5.19870i −0.356012 0.308486i
\(285\) 7.89111 1.89821i 0.467429 0.112440i
\(286\) 0.784259 0.358159i 0.0463742 0.0211784i
\(287\) −2.64736 + 1.44557i −0.156269 + 0.0853292i
\(288\) 0.877679 0.479249i 0.0517177 0.0282400i
\(289\) 45.1616 20.6246i 2.65656 1.21321i
\(290\) 6.46228 1.55451i 0.379478 0.0912838i
\(291\) 9.74060 + 8.44028i 0.571004 + 0.494778i
\(292\) 5.99069 2.23441i 0.350579 0.130759i
\(293\) 4.99320 + 22.9534i 0.291706 + 1.34095i 0.856683 + 0.515844i \(0.172521\pi\)
−0.564977 + 0.825107i \(0.691115\pi\)
\(294\) 6.86512 0.987055i 0.400382 0.0575662i
\(295\) −7.41326 + 1.23186i −0.431616 + 0.0717219i
\(296\) 7.10633 6.15767i 0.413047 0.357908i
\(297\) −1.01196 + 1.85327i −0.0587200 + 0.107538i
\(298\) 9.93522 + 9.93522i 0.575532 + 0.575532i
\(299\) −0.467367 1.90160i −0.0270285 0.109972i
\(300\) 0.138319 4.99809i 0.00798587 0.288565i
\(301\) −2.20379 + 0.647092i −0.127025 + 0.0372978i
\(302\) −0.799739 + 11.1818i −0.0460198 + 0.643441i
\(303\) −0.790391 + 3.63337i −0.0454068 + 0.208732i
\(304\) 0.516557 + 3.59273i 0.0296266 + 0.206057i
\(305\) −0.132875 0.197143i −0.00760841 0.0112884i
\(306\) 7.42609 + 3.39138i 0.424521 + 0.193872i
\(307\) −10.6519 + 0.761836i −0.607934 + 0.0434803i −0.371913 0.928268i \(-0.621298\pi\)
−0.236021 + 0.971748i \(0.575843\pi\)
\(308\) 0.320842 + 0.428595i 0.0182817 + 0.0244214i
\(309\) 5.47524 + 11.9891i 0.311475 + 0.682036i
\(310\) −13.5295 + 1.26552i −0.768427 + 0.0718766i
\(311\) −9.66958 2.83924i −0.548311 0.160999i −0.00416856 0.999991i \(-0.501327\pi\)
−0.544143 + 0.838993i \(0.683145\pi\)
\(312\) 0.142690 0.382567i 0.00807823 0.0216586i
\(313\) 15.4665 11.5781i 0.874220 0.654433i −0.0649485 0.997889i \(-0.520688\pi\)
0.939169 + 0.343455i \(0.111597\pi\)
\(314\) −1.41429 + 1.63217i −0.0798129 + 0.0921089i
\(315\) 0.0280716 0.566255i 0.00158166 0.0319049i
\(316\) −7.98134 + 12.4192i −0.448985 + 0.698635i
\(317\) 11.0333 14.7387i 0.619690 0.827809i −0.375392 0.926866i \(-0.622492\pi\)
0.995082 + 0.0990573i \(0.0315827\pi\)
\(318\) 7.49530 + 1.63050i 0.420316 + 0.0914341i
\(319\) −4.11025 4.74348i −0.230130 0.265584i
\(320\) 2.21974 + 0.269757i 0.124087 + 0.0150799i
\(321\) 19.4497i 1.08558i
\(322\) 1.09216 0.534591i 0.0608634 0.0297916i
\(323\) −20.9531 + 20.9531i −1.16586 + 1.16586i
\(324\) 0.281733 + 0.959493i 0.0156518 + 0.0533052i
\(325\) −1.29374 1.57930i −0.0717637 0.0876037i
\(326\) −0.0556507 + 0.0357646i −0.00308221 + 0.00198082i
\(327\) −7.93958 5.94349i −0.439060 0.328676i
\(328\) 11.6246 2.52877i 0.641860 0.139628i
\(329\) 0.370328 0.810905i 0.0204168 0.0447066i
\(330\) −4.25099 + 2.05486i −0.234010 + 0.113116i
\(331\) −1.08146 + 7.52169i −0.0594422 + 0.413429i 0.938275 + 0.345891i \(0.112423\pi\)
−0.997717 + 0.0675379i \(0.978486\pi\)
\(332\) −1.70231 0.634927i −0.0934261 0.0348461i
\(333\) 4.50639 + 8.25284i 0.246949 + 0.452253i
\(334\) −0.225568 + 0.768213i −0.0123425 + 0.0420348i
\(335\) 22.5125 23.5192i 1.22999 1.28499i
\(336\) 0.250967 + 0.0360836i 0.0136914 + 0.00196852i
\(337\) −0.660640 9.23696i −0.0359874 0.503169i −0.983196 0.182552i \(-0.941564\pi\)
0.947209 0.320617i \(-0.103890\pi\)
\(338\) 4.48477 + 12.0241i 0.243939 + 0.654027i
\(339\) 7.09112 + 4.55718i 0.385137 + 0.247512i
\(340\) 9.09686 + 15.8268i 0.493346 + 0.858330i
\(341\) 6.93748 + 10.7949i 0.375686 + 0.584578i
\(342\) −3.62043 0.258938i −0.195770 0.0140018i
\(343\) 3.10117 + 1.69336i 0.167447 + 0.0914331i
\(344\) 9.05877 0.488416
\(345\) 2.78656 + 10.3554i 0.150024 + 0.557518i
\(346\) −0.173498 −0.00932730
\(347\) 16.9213 + 9.23972i 0.908382 + 0.496014i 0.864279 0.503013i \(-0.167775\pi\)
0.0441029 + 0.999027i \(0.485957\pi\)
\(348\) −2.96489 0.212053i −0.158935 0.0113672i
\(349\) −9.31235 14.4903i −0.498478 0.775648i 0.497286 0.867587i \(-0.334330\pi\)
−0.995765 + 0.0919390i \(0.970694\pi\)
\(350\) 0.787513 0.993472i 0.0420943 0.0531033i
\(351\) 0.343493 + 0.220749i 0.0183343 + 0.0117827i
\(352\) −0.737914 1.97842i −0.0393309 0.105450i
\(353\) 1.68852 + 23.6086i 0.0898708 + 1.25656i 0.819646 + 0.572870i \(0.194170\pi\)
−0.729775 + 0.683687i \(0.760375\pi\)
\(354\) 3.32656 + 0.478287i 0.176805 + 0.0254207i
\(355\) 17.7471 0.388124i 0.941918 0.0205995i
\(356\) −4.18183 + 14.2420i −0.221636 + 0.754824i
\(357\) 0.992009 + 1.81673i 0.0525027 + 0.0961514i
\(358\) −4.09400 1.52698i −0.216375 0.0807036i
\(359\) −2.66411 + 18.5293i −0.140606 + 0.977938i 0.790311 + 0.612706i \(0.209919\pi\)
−0.930917 + 0.365231i \(0.880990\pi\)
\(360\) −0.735431 + 2.11167i −0.0387606 + 0.111295i
\(361\) −2.41997 + 5.29900i −0.127367 + 0.278895i
\(362\) 11.1367 2.42263i 0.585330 0.127331i
\(363\) −5.23660 3.92007i −0.274850 0.205750i
\(364\) 0.0870919 0.0559706i 0.00456486 0.00293365i
\(365\) −6.57584 + 12.6950i −0.344195 + 0.664488i
\(366\) 0.0299542 + 0.102015i 0.00156573 + 0.00533239i
\(367\) −13.9579 + 13.9579i −0.728594 + 0.728594i −0.970340 0.241745i \(-0.922280\pi\)
0.241745 + 0.970340i \(0.422280\pi\)
\(368\) −4.72702 + 0.809475i −0.246413 + 0.0421968i
\(369\) 11.8965i 0.619305i
\(370\) −2.53653 + 20.8722i −0.131868 + 1.08510i
\(371\) 1.27361 + 1.46983i 0.0661228 + 0.0763098i
\(372\) 5.93813 + 1.29176i 0.307878 + 0.0669747i
\(373\) 12.2188 16.3224i 0.632667 0.845144i −0.363592 0.931558i \(-0.618450\pi\)
0.996259 + 0.0864140i \(0.0275408\pi\)
\(374\) 9.31979 14.5019i 0.481915 0.749874i
\(375\) 7.27243 + 8.49187i 0.375546 + 0.438518i
\(376\) −2.30246 + 2.65719i −0.118741 + 0.137034i
\(377\) −0.971607 + 0.727336i −0.0500403 + 0.0374597i
\(378\) −0.0886059 + 0.237562i −0.00455740 + 0.0122189i
\(379\) −13.9048 4.08283i −0.714243 0.209721i −0.0956305 0.995417i \(-0.530487\pi\)
−0.618613 + 0.785696i \(0.712305\pi\)
\(380\) −6.24856 5.17960i −0.320545 0.265708i
\(381\) 3.00053 + 6.57024i 0.153722 + 0.336604i
\(382\) 14.3686 + 19.1942i 0.735162 + 0.982061i
\(383\) −0.209665 + 0.0149956i −0.0107134 + 0.000766237i −0.0766949 0.997055i \(-0.524437\pi\)
0.0659815 + 0.997821i \(0.478982\pi\)
\(384\) −0.909632 0.415415i −0.0464195 0.0211991i
\(385\) −1.17507 0.228835i −0.0598873 0.0116625i
\(386\) −0.189219 1.31605i −0.00963099 0.0669850i
\(387\) −1.92558 + 8.85175i −0.0978827 + 0.449960i
\(388\) 0.919467 12.8558i 0.0466789 0.652656i
\(389\) 9.71689 2.85314i 0.492666 0.144660i −0.0259566 0.999663i \(-0.508263\pi\)
0.518623 + 0.855003i \(0.326445\pi\)
\(390\) 0.337692 + 0.848264i 0.0170997 + 0.0429535i
\(391\) −28.4168 26.9331i −1.43710 1.36207i
\(392\) −4.90429 4.90429i −0.247704 0.247704i
\(393\) −0.778424 + 1.42558i −0.0392663 + 0.0719109i
\(394\) 8.91752 7.72707i 0.449258 0.389284i
\(395\) −5.41117 32.5640i −0.272265 1.63847i
\(396\) 2.09007 0.300506i 0.105030 0.0151010i
\(397\) −5.87300 26.9978i −0.294758 1.35498i −0.851527 0.524311i \(-0.824323\pi\)
0.556769 0.830667i \(-0.312041\pi\)
\(398\) 16.2829 6.07322i 0.816189 0.304423i
\(399\) −0.695514 0.602667i −0.0348193 0.0301711i
\(400\) −4.08407 + 2.88451i −0.204203 + 0.144226i
\(401\) −16.1258 + 7.36441i −0.805284 + 0.367761i −0.775144 0.631785i \(-0.782323\pi\)
−0.0301403 + 0.999546i \(0.509595\pi\)
\(402\) −12.7790 + 6.97786i −0.637359 + 0.348024i
\(403\) 2.17779 1.18916i 0.108484 0.0592365i
\(404\) 3.38232 1.54466i 0.168277 0.0768495i
\(405\) −1.90708 1.16749i −0.0947637 0.0580131i
\(406\) −0.569579 0.493543i −0.0282677 0.0244941i
\(407\) 18.6032 6.93862i 0.922125 0.343935i
\(408\) −1.73535 7.97727i −0.0859125 0.394934i
\(409\) −28.6192 + 4.11482i −1.41513 + 0.203465i −0.807084 0.590437i \(-0.798955\pi\)
−0.608046 + 0.793902i \(0.708046\pi\)
\(410\) −15.4721 + 21.6389i −0.764114 + 1.06867i
\(411\) −5.07638 + 4.39871i −0.250399 + 0.216972i
\(412\) 6.31658 11.5680i 0.311196 0.569912i
\(413\) 0.602537 + 0.602537i 0.0296489 + 0.0296489i
\(414\) 0.213825 4.79106i 0.0105089 0.235468i
\(415\) 3.77452 1.50263i 0.185284 0.0737611i
\(416\) −0.391771 + 0.115034i −0.0192082 + 0.00564003i
\(417\) −0.0791079 + 1.10607i −0.00387393 + 0.0541646i
\(418\) −1.62916 + 7.48912i −0.0796848 + 0.366305i
\(419\) −0.813929 5.66100i −0.0397630 0.276558i 0.960233 0.279198i \(-0.0900687\pi\)
−0.999997 + 0.00264027i \(0.999160\pi\)
\(420\) −0.470133 + 0.316871i −0.0229401 + 0.0154617i
\(421\) −0.433236 0.197852i −0.0211146 0.00964273i 0.404830 0.914392i \(-0.367331\pi\)
−0.425944 + 0.904749i \(0.640058\pi\)
\(422\) 3.84422 0.274944i 0.187134 0.0133841i
\(423\) −2.10704 2.81467i −0.102448 0.136854i
\(424\) −3.18648 6.97742i −0.154749 0.338854i
\(425\) −38.8326 12.5792i −1.88366 0.610179i
\(426\) −7.61707 2.23657i −0.369048 0.108362i
\(427\) −0.00942070 + 0.0252579i −0.000455900 + 0.00122231i
\(428\) −15.5703 + 11.6558i −0.752619 + 0.563404i
\(429\) 0.564602 0.651586i 0.0272593 0.0314589i
\(430\) −15.0148 + 13.5964i −0.724078 + 0.655678i
\(431\) 2.40989 3.74986i 0.116080 0.180625i −0.778352 0.627829i \(-0.783944\pi\)
0.894432 + 0.447204i \(0.147580\pi\)
\(432\) 0.599278 0.800541i 0.0288328 0.0385161i
\(433\) −0.136438 0.0296803i −0.00655680 0.00142635i 0.209286 0.977855i \(-0.432886\pi\)
−0.215842 + 0.976428i \(0.569250\pi\)
\(434\) 1.00902 + 1.16447i 0.0484344 + 0.0558963i
\(435\) 5.23253 4.09856i 0.250881 0.196511i
\(436\) 9.91776i 0.474975i
\(437\) 16.0223 + 6.80437i 0.766453 + 0.325497i
\(438\) 4.52112 4.52112i 0.216027 0.216027i
\(439\) 1.78191 + 6.06862i 0.0850458 + 0.289639i 0.991024 0.133685i \(-0.0426811\pi\)
−0.905978 + 0.423325i \(0.860863\pi\)
\(440\) 4.19252 + 2.17167i 0.199871 + 0.103530i
\(441\) 5.83469 3.74973i 0.277843 0.178559i
\(442\) −2.66851 1.99762i −0.126928 0.0950171i
\(443\) 20.3444 4.42564i 0.966589 0.210269i 0.298550 0.954394i \(-0.403497\pi\)
0.668040 + 0.744125i \(0.267134\pi\)
\(444\) 3.90616 8.55330i 0.185378 0.405921i
\(445\) −14.4447 29.8825i −0.684743 1.41657i
\(446\) −2.30663 + 16.0430i −0.109222 + 0.759656i
\(447\) 13.1646 + 4.91016i 0.622666 + 0.232242i
\(448\) −0.121513 0.222534i −0.00574093 0.0105137i
\(449\) −4.80712 + 16.3716i −0.226862 + 0.772622i 0.764857 + 0.644200i \(0.222809\pi\)
−0.991720 + 0.128422i \(0.959009\pi\)
\(450\) −1.95046 4.60388i −0.0919456 0.217029i
\(451\) 24.8644 + 3.57496i 1.17082 + 0.168338i
\(452\) −0.601334 8.40775i −0.0282844 0.395467i
\(453\) 3.91762 + 10.5036i 0.184066 + 0.493500i
\(454\) −16.9848 10.9155i −0.797137 0.512289i
\(455\) −0.0603468 + 0.223488i −0.00282910 + 0.0104773i
\(456\) 1.96235 + 3.05348i 0.0918956 + 0.142992i
\(457\) −9.70539 0.694143i −0.453999 0.0324707i −0.157532 0.987514i \(-0.550354\pi\)
−0.296467 + 0.955043i \(0.595808\pi\)
\(458\) −2.77119 1.51319i −0.129489 0.0707066i
\(459\) 8.16384 0.381055
\(460\) 6.62003 8.43654i 0.308660 0.393356i
\(461\) −12.3875 −0.576942 −0.288471 0.957489i \(-0.593147\pi\)
−0.288471 + 0.957489i \(0.593147\pi\)
\(462\) 0.469893 + 0.256581i 0.0218614 + 0.0119372i
\(463\) −17.1405 1.22591i −0.796584 0.0569728i −0.332887 0.942967i \(-0.608023\pi\)
−0.463697 + 0.885994i \(0.653477\pi\)
\(464\) 1.60703 + 2.50059i 0.0746046 + 0.116087i
\(465\) −11.7812 + 6.77153i −0.546340 + 0.314022i
\(466\) −19.6133 12.6047i −0.908567 0.583901i
\(467\) 4.92576 + 13.2065i 0.227937 + 0.611122i 0.999693 0.0247969i \(-0.00789390\pi\)
−0.771756 + 0.635919i \(0.780621\pi\)
\(468\) −0.0291286 0.407270i −0.00134647 0.0188261i
\(469\) −3.65408 0.525378i −0.168730 0.0242597i
\(470\) −0.171897 7.86005i −0.00792902 0.362557i
\(471\) −0.608451 + 2.07219i −0.0280360 + 0.0954817i
\(472\) −1.61065 2.94968i −0.0741360 0.135770i
\(473\) 17.9221 + 6.68459i 0.824058 + 0.307358i
\(474\) −2.10096 + 14.6125i −0.0965001 + 0.671173i
\(475\) 18.1310 0.793421i 0.831909 0.0364046i
\(476\) 0.859877 1.88287i 0.0394124 0.0863011i
\(477\) 7.49530 1.63050i 0.343186 0.0746556i
\(478\) 6.58442 + 4.92904i 0.301164 + 0.225449i
\(479\) −9.86782 + 6.34167i −0.450872 + 0.289758i −0.746303 0.665606i \(-0.768173\pi\)
0.295431 + 0.955364i \(0.404537\pi\)
\(480\) 2.13120 0.676733i 0.0972757 0.0308885i
\(481\) −1.08167 3.68384i −0.0493200 0.167968i
\(482\) −8.51619 + 8.51619i −0.387902 + 0.387902i
\(483\) 0.771382 0.939979i 0.0350991 0.0427705i
\(484\) 6.54132i 0.297333i
\(485\) 17.7715 + 22.6884i 0.806960 + 1.03023i
\(486\) 0.654861 + 0.755750i 0.0297051 + 0.0342815i
\(487\) −22.6069 4.91784i −1.02442 0.222848i −0.331188 0.943565i \(-0.607449\pi\)
−0.693230 + 0.720717i \(0.743813\pi\)
\(488\) 0.0637160 0.0851147i 0.00288429 0.00385296i
\(489\) −0.0357646 + 0.0556507i −0.00161733 + 0.00251661i
\(490\) 15.4897 + 0.767889i 0.699754 + 0.0346897i
\(491\) 10.0043 11.5456i 0.451488 0.521045i −0.483682 0.875244i \(-0.660701\pi\)
0.935170 + 0.354199i \(0.115246\pi\)
\(492\) 9.52360 7.12928i 0.429357 0.321413i
\(493\) −8.48033 + 22.7367i −0.381935 + 1.02401i
\(494\) 1.42200 + 0.417538i 0.0639790 + 0.0187859i
\(495\) −3.01322 + 3.63509i −0.135434 + 0.163385i
\(496\) −2.52448 5.52784i −0.113353 0.248207i
\(497\) −1.20624 1.61135i −0.0541073 0.0722789i
\(498\) −1.81223 + 0.129613i −0.0812079 + 0.00580811i
\(499\) 9.60267 + 4.38539i 0.429875 + 0.196317i 0.618589 0.785715i \(-0.287705\pi\)
−0.188714 + 0.982032i \(0.560432\pi\)
\(500\) 2.43989 10.9109i 0.109115 0.487949i
\(501\) 0.113944 + 0.792496i 0.00509063 + 0.0354061i
\(502\) 5.88126 27.0357i 0.262493 1.20666i
\(503\) −2.57580 + 36.0143i −0.114849 + 1.60580i 0.534405 + 0.845229i \(0.320536\pi\)
−0.649254 + 0.760572i \(0.724919\pi\)
\(504\) 0.243277 0.0714327i 0.0108364 0.00318187i
\(505\) −3.28777 + 7.63682i −0.146304 + 0.339834i
\(506\) −9.94938 1.88665i −0.442304 0.0838719i
\(507\) 9.07450 + 9.07450i 0.403013 + 0.403013i
\(508\) 3.46160 6.33944i 0.153584 0.281267i
\(509\) −17.4626 + 15.1315i −0.774018 + 0.670691i −0.949491 0.313794i \(-0.898400\pi\)
0.175473 + 0.984484i \(0.443855\pi\)
\(510\) 14.8495 + 10.6176i 0.657547 + 0.470156i
\(511\) 1.60464 0.230712i 0.0709851 0.0102061i
\(512\) 0.212565 + 0.977147i 0.00939415 + 0.0431842i
\(513\) −3.40083 + 1.26844i −0.150150 + 0.0560031i
\(514\) −8.38857 7.26874i −0.370004 0.320610i
\(515\) 6.89283 + 28.6544i 0.303734 + 1.26266i
\(516\) 8.24015 3.76315i 0.362752 0.165663i
\(517\) −6.51602 + 3.55802i −0.286574 + 0.156481i
\(518\) 2.09249 1.14259i 0.0919387 0.0502024i
\(519\) −0.157819 + 0.0720736i −0.00692749 + 0.00316368i
\(520\) 0.476699 0.778682i 0.0209046 0.0341475i
\(521\) 14.2826 + 12.3760i 0.625733 + 0.542200i 0.908976 0.416847i \(-0.136865\pi\)
−0.283244 + 0.959048i \(0.591411\pi\)
\(522\) −2.78505 + 1.03877i −0.121898 + 0.0454657i
\(523\) −3.26036 14.9876i −0.142566 0.655364i −0.991848 0.127425i \(-0.959329\pi\)
0.849283 0.527939i \(-0.177035\pi\)
\(524\) 1.60773 0.231156i 0.0702338 0.0100981i
\(525\) 0.303643 1.23084i 0.0132521 0.0537182i
\(526\) 21.2217 18.3887i 0.925310 0.801785i
\(527\) 23.7764 43.5431i 1.03571 1.89677i
\(528\) −1.49310 1.49310i −0.0649787 0.0649787i
\(529\) −8.41999 + 21.4034i −0.366087 + 0.930581i
\(530\) 15.7540 + 6.78236i 0.684312 + 0.294607i
\(531\) 3.22463 0.946838i 0.139937 0.0410893i
\(532\) −0.0656533 + 0.917952i −0.00284643 + 0.0397983i
\(533\) 1.03252 4.74644i 0.0447236 0.205591i
\(534\) 2.11242 + 14.6922i 0.0914132 + 0.635793i
\(535\) 8.31327 42.6890i 0.359414 1.84561i
\(536\) 13.2442 + 6.04844i 0.572064 + 0.261253i
\(537\) −4.35837 + 0.311716i −0.188077 + 0.0134516i
\(538\) −6.85308 9.15465i −0.295457 0.394685i
\(539\) −6.08382 13.3217i −0.262049 0.573807i
\(540\) 0.208247 + 2.22635i 0.00896153 + 0.0958068i
\(541\) 36.4224 + 10.6946i 1.56592 + 0.459796i 0.945811 0.324718i \(-0.105269\pi\)
0.620111 + 0.784514i \(0.287087\pi\)
\(542\) 4.74873 12.7318i 0.203975 0.546879i
\(543\) 9.12386 6.83004i 0.391542 0.293105i
\(544\) −5.34618 + 6.16982i −0.229215 + 0.264529i
\(545\) −14.8857 16.4386i −0.637633 0.704150i
\(546\) 0.0559706 0.0870919i 0.00239532 0.00372719i
\(547\) −17.0958 + 22.8373i −0.730964 + 0.976454i 0.268947 + 0.963155i \(0.413324\pi\)
−0.999912 + 0.0132991i \(0.995767\pi\)
\(548\) 6.56351 + 1.42780i 0.280379 + 0.0609928i
\(549\) 0.0696257 + 0.0803523i 0.00297155 + 0.00342935i
\(550\) −10.2085 + 2.69310i −0.435293 + 0.114834i
\(551\) 10.7891i 0.459630i
\(552\) −3.96358 + 2.70000i −0.168701 + 0.114920i
\(553\) −2.64674 + 2.64674i −0.112551 + 0.112551i
\(554\) −3.44415 11.7297i −0.146328 0.498348i
\(555\) 6.36334 + 20.0398i 0.270109 + 0.850641i
\(556\) 0.932864 0.599515i 0.0395622 0.0254251i
\(557\) −21.2940 15.9405i −0.902254 0.675419i 0.0439349 0.999034i \(-0.486011\pi\)
−0.946189 + 0.323616i \(0.895101\pi\)
\(558\) 5.93813 1.29176i 0.251381 0.0546846i
\(559\) 1.53653 3.36454i 0.0649885 0.142305i
\(560\) 0.535409 + 0.186467i 0.0226252 + 0.00787967i
\(561\) 2.45328 17.0629i 0.103578 0.720398i
\(562\) 2.15327 + 0.803127i 0.0908301 + 0.0338779i
\(563\) −21.8622 40.0376i −0.921380 1.68738i −0.702570 0.711615i \(-0.747964\pi\)
−0.218811 0.975767i \(-0.570218\pi\)
\(564\) −0.990561 + 3.37354i −0.0417101 + 0.142052i
\(565\) 13.6160 + 13.0332i 0.572829 + 0.548310i
\(566\) −19.4868 2.80178i −0.819093 0.117768i
\(567\) 0.0180879 + 0.252902i 0.000759620 + 0.0106209i
\(568\) 2.77427 + 7.43811i 0.116406 + 0.312096i
\(569\) −33.8362 21.7452i −1.41849 0.911606i −0.999994 0.00338602i \(-0.998922\pi\)
−0.418493 0.908220i \(-0.637441\pi\)
\(570\) −7.83558 2.11578i −0.328196 0.0886205i
\(571\) −15.4109 23.9799i −0.644927 1.00353i −0.997698 0.0678167i \(-0.978397\pi\)
0.352770 0.935710i \(-0.385240\pi\)
\(572\) −0.859975 0.0615066i −0.0359574 0.00257172i
\(573\) 21.0437 + 11.4907i 0.879113 + 0.480032i
\(574\) 3.01632 0.125899
\(575\) 1.68989 + 23.9195i 0.0704734 + 0.997514i
\(576\) −1.00000 −0.0416667
\(577\) 30.3993 + 16.5993i 1.26554 + 0.691037i 0.964879 0.262694i \(-0.0846110\pi\)
0.300661 + 0.953731i \(0.402793\pi\)
\(578\) −49.5217 3.54186i −2.05983 0.147322i
\(579\) −0.718825 1.11851i −0.0298734 0.0464839i
\(580\) −6.41681 1.73268i −0.266443 0.0719458i
\(581\) −0.387532 0.249052i −0.0160776 0.0103324i
\(582\) −4.50413 12.0760i −0.186702 0.500568i
\(583\) −1.15547 16.1556i −0.0478549 0.669098i
\(584\) −6.32875 0.909936i −0.261885 0.0376534i
\(585\) 0.659557 + 0.631326i 0.0272693 + 0.0261021i
\(586\) 6.61795 22.5387i 0.273385 0.931064i
\(587\) −16.3211 29.8898i −0.673642 1.23368i −0.961182 0.275915i \(-0.911019\pi\)
0.287540 0.957769i \(-0.407163\pi\)
\(588\) −6.49841 2.42378i −0.267990 0.0999551i
\(589\) −3.13912 + 21.8331i −0.129345 + 0.899616i
\(590\) 7.09683 + 2.47161i 0.292172 + 0.101755i
\(591\) 4.90172 10.7333i 0.201630 0.441507i
\(592\) −9.18814 + 1.99876i −0.377630 + 0.0821484i
\(593\) 19.9336 + 14.9221i 0.818576 + 0.612778i 0.924321 0.381615i \(-0.124632\pi\)
−0.105745 + 0.994393i \(0.533723\pi\)
\(594\) 1.77636 1.14159i 0.0728847 0.0468402i
\(595\) 1.40078 + 4.41143i 0.0574266 + 0.180851i
\(596\) −3.95849 13.4814i −0.162146 0.552219i
\(597\) 12.2886 12.2886i 0.502938 0.502938i
\(598\) −0.501141 + 1.89298i −0.0204932 + 0.0774096i
\(599\) 29.9967i 1.22563i −0.790226 0.612815i \(-0.790037\pi\)
0.790226 0.612815i \(-0.209963\pi\)
\(600\) −2.51673 + 4.32043i −0.102745 + 0.176381i
\(601\) 14.1270 + 16.3035i 0.576253 + 0.665032i 0.966795 0.255554i \(-0.0822577\pi\)
−0.390542 + 0.920585i \(0.627712\pi\)
\(602\) 2.24434 + 0.488227i 0.0914726 + 0.0198986i
\(603\) −8.72548 + 11.6559i −0.355329 + 0.474664i
\(604\) 6.06078 9.43076i 0.246610 0.383732i
\(605\) −9.81795 10.8422i −0.399156 0.440796i
\(606\) 2.43500 2.81014i 0.0989150 0.114154i
\(607\) −9.85289 + 7.37578i −0.399916 + 0.299374i −0.780240 0.625480i \(-0.784903\pi\)
0.380324 + 0.924853i \(0.375812\pi\)
\(608\) 1.26844 3.40083i 0.0514421 0.137922i
\(609\) −0.723132 0.212331i −0.0293028 0.00860408i
\(610\) 0.0221411 + 0.236709i 0.000896467 + 0.00958405i
\(611\) 0.596372 + 1.30587i 0.0241266 + 0.0528299i
\(612\) −4.89240 6.53549i −0.197764 0.264181i
\(613\) −41.1696 + 2.94451i −1.66283 + 0.118928i −0.870825 0.491593i \(-0.836415\pi\)
−0.792001 + 0.610520i \(0.790960\pi\)
\(614\) 9.71403 + 4.43625i 0.392026 + 0.179032i
\(615\) −5.08482 + 26.1108i −0.205040 + 1.05289i
\(616\) −0.0761927 0.529932i −0.00306989 0.0213516i
\(617\) 0.754797 3.46974i 0.0303870 0.139687i −0.959454 0.281865i \(-0.909047\pi\)
0.989841 + 0.142178i \(0.0454106\pi\)
\(618\) 0.940262 13.1466i 0.0378229 0.528833i
\(619\) −1.36483 + 0.400751i −0.0548572 + 0.0161075i −0.309046 0.951047i \(-0.600010\pi\)
0.254189 + 0.967155i \(0.418192\pi\)
\(620\) 12.4811 + 5.37330i 0.501253 + 0.215797i
\(621\) −1.79578 4.44693i −0.0720620 0.178449i
\(622\) 7.12608 + 7.12608i 0.285730 + 0.285730i
\(623\) −1.80364 + 3.30312i −0.0722614 + 0.132337i
\(624\) −0.308581 + 0.267387i −0.0123531 + 0.0107040i
\(625\) 12.3322 + 21.7467i 0.493287 + 0.869867i
\(626\) −19.1235 + 2.74954i −0.764327 + 0.109894i
\(627\) 1.62916 + 7.48912i 0.0650623 + 0.299087i
\(628\) 2.02351 0.754730i 0.0807468 0.0301170i
\(629\) −58.0149 50.2702i −2.31321 2.00441i
\(630\) −0.296015 + 0.483537i −0.0117935 + 0.0192646i
\(631\) −5.23484 + 2.39067i −0.208396 + 0.0951712i −0.516878 0.856059i \(-0.672906\pi\)
0.308483 + 0.951230i \(0.400179\pi\)
\(632\) 12.9569 7.07503i 0.515399 0.281429i
\(633\) 3.38261 1.84705i 0.134447 0.0734135i
\(634\) −16.7472 + 7.64818i −0.665116 + 0.303748i
\(635\) 3.77739 + 15.7031i 0.149901 + 0.623158i
\(636\) −5.79705 5.02317i −0.229868 0.199182i
\(637\) −2.65337 + 0.989657i −0.105130 + 0.0392116i
\(638\) 1.33417 + 6.13308i 0.0528203 + 0.242811i
\(639\) −7.85784 + 1.12979i −0.310851 + 0.0446937i
\(640\) −1.81894 1.30057i −0.0718997 0.0514094i
\(641\) 5.76082 4.99178i 0.227539 0.197163i −0.533629 0.845719i \(-0.679172\pi\)
0.761167 + 0.648555i \(0.224627\pi\)
\(642\) −9.32126 + 17.0706i −0.367881 + 0.673724i
\(643\) −13.9165 13.9165i −0.548813 0.548813i 0.377285 0.926097i \(-0.376858\pi\)
−0.926097 + 0.377285i \(0.876858\pi\)
\(644\) −1.21476 0.0542149i −0.0478684 0.00213637i
\(645\) −8.00978 + 18.6051i −0.315385 + 0.732575i
\(646\) 28.4318 8.34833i 1.11863 0.328460i
\(647\) −2.15873 + 30.1830i −0.0848685 + 1.18662i 0.759373 + 0.650655i \(0.225506\pi\)
−0.844242 + 0.535962i \(0.819949\pi\)
\(648\) 0.212565 0.977147i 0.00835035 0.0383860i
\(649\) −1.00993 7.02423i −0.0396433 0.275725i
\(650\) 0.378611 + 2.00614i 0.0148503 + 0.0786873i
\(651\) 1.40157 + 0.640077i 0.0549320 + 0.0250866i
\(652\) 0.0659836 0.00471924i 0.00258412 0.000184820i
\(653\) −6.89326 9.20832i −0.269754 0.360349i 0.645125 0.764077i \(-0.276805\pi\)
−0.914879 + 0.403728i \(0.867714\pi\)
\(654\) 4.11999 + 9.02151i 0.161104 + 0.352769i
\(655\) −2.31784 + 2.79619i −0.0905655 + 0.109256i
\(656\) −11.4146 3.35162i −0.445664 0.130859i
\(657\) 2.23441 5.99069i 0.0871728 0.233719i
\(658\) −0.713654 + 0.534235i −0.0278211 + 0.0208266i
\(659\) 3.45998 3.99303i 0.134782 0.155546i −0.684346 0.729157i \(-0.739912\pi\)
0.819128 + 0.573611i \(0.194458\pi\)
\(660\) 4.71580 + 0.233782i 0.183562 + 0.00909994i
\(661\) 9.26257 14.4128i 0.360272 0.560594i −0.613048 0.790046i \(-0.710057\pi\)
0.973320 + 0.229451i \(0.0736932\pi\)
\(662\) 4.55393 6.08334i 0.176994 0.236436i
\(663\) −3.25720 0.708561i −0.126499 0.0275182i
\(664\) 1.18979 + 1.37309i 0.0461728 + 0.0532862i
\(665\) −1.26895 1.62003i −0.0492076 0.0628222i
\(666\) 9.40303i 0.364360i
\(667\) 14.2503 0.381991i 0.551774 0.0147908i
\(668\) 0.566142 0.566142i 0.0219047 0.0219047i
\(669\) 4.56630 + 15.5514i 0.176544 + 0.601252i
\(670\) −31.0303 + 9.85323i −1.19881 + 0.380663i
\(671\) 0.188865 0.121376i 0.00729104 0.00468566i
\(672\) −0.202976 0.151946i −0.00782995 0.00586143i
\(673\) 16.4631 3.58133i 0.634606 0.138050i 0.116257 0.993219i \(-0.462910\pi\)
0.518349 + 0.855169i \(0.326547\pi\)
\(674\) −3.84697 + 8.42370i −0.148180 + 0.324469i
\(675\) −3.68672 3.37759i −0.141902 0.130003i
\(676\) 1.82637 12.7027i 0.0702449 0.488564i
\(677\) 6.71074 + 2.50298i 0.257915 + 0.0961973i 0.475096 0.879934i \(-0.342413\pi\)
−0.217181 + 0.976131i \(0.569686\pi\)
\(678\) −4.03970 7.39815i −0.155144 0.284124i
\(679\) 0.920672 3.13552i 0.0353321 0.120330i
\(680\) −0.399134 18.2505i −0.0153061 0.699876i
\(681\) −19.9844 2.87332i −0.765803 0.110106i
\(682\) −0.915421 12.7993i −0.0350533 0.490109i
\(683\) 2.95459 + 7.92156i 0.113054 + 0.303110i 0.981138 0.193307i \(-0.0619213\pi\)
−0.868084 + 0.496417i \(0.834649\pi\)
\(684\) 3.05348 + 1.96235i 0.116753 + 0.0750324i
\(685\) −13.0219 + 7.48469i −0.497543 + 0.285975i
\(686\) −1.91028 2.97246i −0.0729350 0.113489i
\(687\) −3.14937 0.225247i −0.120156 0.00859372i
\(688\) −7.95069 4.34141i −0.303117 0.165515i
\(689\) −3.13199 −0.119319
\(690\) 2.51712 10.4242i 0.0958253 0.396843i
\(691\) −17.5692 −0.668365 −0.334182 0.942508i \(-0.608460\pi\)
−0.334182 + 0.942508i \(0.608460\pi\)
\(692\) 0.152275 + 0.0831486i 0.00578864 + 0.00316084i
\(693\) 0.534017 + 0.0381936i 0.0202856 + 0.00145086i
\(694\) −10.4233 16.2190i −0.395664 0.615665i
\(695\) −0.646390 + 2.39384i −0.0245190 + 0.0908034i
\(696\) 2.50059 + 1.60703i 0.0947847 + 0.0609144i
\(697\) −33.9402 90.9972i −1.28558 3.44676i
\(698\) 1.22879 + 17.1808i 0.0465105 + 0.650301i
\(699\) −23.0770 3.31798i −0.872854 0.125497i
\(700\) −1.16730 + 0.494535i −0.0441199 + 0.0186917i
\(701\) −3.18331 + 10.8413i −0.120232 + 0.409472i −0.997511 0.0705081i \(-0.977538\pi\)
0.877279 + 0.479980i \(0.159356\pi\)
\(702\) −0.195682 0.358366i −0.00738556 0.0135256i
\(703\) 31.9781 + 11.9272i 1.20608 + 0.449843i
\(704\) −0.300506 + 2.09007i −0.0113257 + 0.0787723i
\(705\) −3.42155 7.07834i −0.128863 0.266586i
\(706\) 9.83241 21.5300i 0.370048 0.810291i
\(707\) 0.921233 0.200402i 0.0346465 0.00753689i
\(708\) −2.69043 2.01403i −0.101113 0.0756920i
\(709\) −20.9351 + 13.4542i −0.786233 + 0.505281i −0.871097 0.491111i \(-0.836591\pi\)
0.0848637 + 0.996393i \(0.472955\pi\)
\(710\) −15.7623 8.16463i −0.591547 0.306413i
\(711\) 4.15914 + 14.1647i 0.155980 + 0.531219i
\(712\) 10.4958 10.4958i 0.393345 0.393345i
\(713\) −28.9484 3.37317i −1.08413 0.126326i
\(714\) 2.06992i 0.0774649i
\(715\) 1.51771 1.18880i 0.0567593 0.0444586i
\(716\) 2.86141 + 3.30225i 0.106936 + 0.123411i
\(717\) 8.03700 + 1.74834i 0.300147 + 0.0652930i
\(718\) 11.2184 14.9860i 0.418666 0.559272i
\(719\) 2.54283 3.95672i 0.0948315 0.147561i −0.790596 0.612338i \(-0.790229\pi\)
0.885428 + 0.464777i \(0.153866\pi\)
\(720\) 1.65749 1.50091i 0.0617709 0.0559357i
\(721\) 2.18842 2.52557i 0.0815009 0.0940570i
\(722\) 4.66350 3.49105i 0.173558 0.129924i
\(723\) −4.20885 + 11.2844i −0.156529 + 0.419670i
\(724\) −10.9355 3.21094i −0.406413 0.119334i
\(725\) 13.2364 6.75916i 0.491587 0.251029i
\(726\) 2.71736 + 5.95020i 0.100851 + 0.220833i
\(727\) −6.70530 8.95723i −0.248686 0.332205i 0.658777 0.752339i \(-0.271074\pi\)
−0.907462 + 0.420133i \(0.861983\pi\)
\(728\) −0.103263 + 0.00738548i −0.00382716 + 0.000273724i
\(729\) 0.909632 + 0.415415i 0.0336901 + 0.0153857i
\(730\) 11.8555 7.99068i 0.438794 0.295748i
\(731\) −10.5248 73.2016i −0.389274 2.70746i
\(732\) 0.0226002 0.103892i 0.000835329 0.00383994i
\(733\) 0.573690 8.02123i 0.0211897 0.296271i −0.975796 0.218684i \(-0.929824\pi\)
0.996986 0.0775874i \(-0.0247217\pi\)
\(734\) 18.9398 5.56123i 0.699081 0.205269i
\(735\) 14.4089 5.73616i 0.531481 0.211581i
\(736\) 4.53675 + 1.55496i 0.167227 + 0.0573167i
\(737\) 21.7395 + 21.7395i 0.800784 + 0.800784i
\(738\) 5.70136 10.4413i 0.209870 0.384348i
\(739\) 0.839920 0.727795i 0.0308969 0.0267724i −0.639275 0.768978i \(-0.720766\pi\)
0.670172 + 0.742205i \(0.266220\pi\)
\(740\) 12.2293 17.1035i 0.449557 0.628737i
\(741\) 1.46695 0.210916i 0.0538898 0.00774819i
\(742\) −0.413411 1.90042i −0.0151768 0.0697665i
\(743\) 21.1388 7.88436i 0.775507 0.289249i 0.0696199 0.997574i \(-0.477821\pi\)
0.705887 + 0.708324i \(0.250549\pi\)
\(744\) −4.59270 3.97959i −0.168376 0.145899i
\(745\) 26.7955 + 16.4039i 0.981712 + 0.600991i
\(746\) −18.5467 + 8.47001i −0.679044 + 0.310109i
\(747\) −1.59462 + 0.870728i −0.0583440 + 0.0318583i
\(748\) −15.1298 + 8.26149i −0.553200 + 0.302070i
\(749\) −4.48579 + 2.04859i −0.163907 + 0.0748540i
\(750\) −2.31314 10.9384i −0.0844638 0.399415i
\(751\) −6.64458 5.75756i −0.242464 0.210096i 0.525148 0.851011i \(-0.324010\pi\)
−0.767612 + 0.640914i \(0.778555\pi\)
\(752\) 3.29428 1.22870i 0.120130 0.0448062i
\(753\) −5.88126 27.0357i −0.214325 0.985236i
\(754\) 1.20133 0.172726i 0.0437500 0.00629030i
\(755\) 4.10908 + 24.7281i 0.149545 + 0.899947i
\(756\) 0.191619 0.166039i 0.00696911 0.00603876i
\(757\) 0.238405 0.436606i 0.00866497 0.0158687i −0.873311 0.487164i \(-0.838031\pi\)
0.881976 + 0.471295i \(0.156213\pi\)
\(758\) 10.2473 + 10.2473i 0.372198 + 0.372198i
\(759\) −9.83402 + 2.41696i −0.356952 + 0.0877302i
\(760\) 3.00191 + 7.54065i 0.108891 + 0.273528i
\(761\) −6.79030 + 1.99381i −0.246148 + 0.0722756i −0.402479 0.915429i \(-0.631851\pi\)
0.156331 + 0.987705i \(0.450033\pi\)
\(762\) 0.515280 7.20456i 0.0186666 0.260994i
\(763\) −0.534522 + 2.45716i −0.0193510 + 0.0889552i
\(764\) −3.41222 23.7325i −0.123450 0.858611i
\(765\) 17.9183 + 3.48942i 0.647837 + 0.126160i
\(766\) 0.191205 + 0.0873206i 0.00690854 + 0.00315502i
\(767\) −1.36874 + 0.0978944i −0.0494224 + 0.00353476i
\(768\) 0.599278 + 0.800541i 0.0216246 + 0.0288870i
\(769\) 13.0524 + 28.5807i 0.470681 + 1.03065i 0.984922 + 0.173001i \(0.0553464\pi\)
−0.514241 + 0.857646i \(0.671926\pi\)
\(770\) 0.921669 + 0.763996i 0.0332146 + 0.0275325i
\(771\) −10.6501 3.12714i −0.383552 0.112621i
\(772\) −0.464641 + 1.24575i −0.0167228 + 0.0448355i
\(773\)