Properties

Label 189.2.ba.a.101.14
Level $189$
Weight $2$
Character 189.101
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.ba (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 101.14
Character \(\chi\) \(=\) 189.101
Dual form 189.2.ba.a.131.14

$q$-expansion

\(f(q)\) \(=\) \(q+(0.572822 - 0.682663i) q^{2} +(-1.73140 + 0.0474030i) q^{3} +(0.209393 + 1.18753i) q^{4} +(-1.06212 + 0.891222i) q^{5} +(-0.959425 + 1.20912i) q^{6} +(-1.58403 + 2.11916i) q^{7} +(2.47415 + 1.42845i) q^{8} +(2.99551 - 0.164147i) q^{9} +O(q^{10})\) \(q+(0.572822 - 0.682663i) q^{2} +(-1.73140 + 0.0474030i) q^{3} +(0.209393 + 1.18753i) q^{4} +(-1.06212 + 0.891222i) q^{5} +(-0.959425 + 1.20912i) q^{6} +(-1.58403 + 2.11916i) q^{7} +(2.47415 + 1.42845i) q^{8} +(2.99551 - 0.164147i) q^{9} +1.23558i q^{10} +(-0.371978 + 0.443306i) q^{11} +(-0.418836 - 2.04616i) q^{12} +(-1.85992 + 5.11010i) q^{13} +(0.539301 + 2.29526i) q^{14} +(1.79671 - 1.59341i) q^{15} +(0.126145 - 0.0459131i) q^{16} +2.31232 q^{17} +(1.60383 - 2.13895i) q^{18} -3.42394i q^{19} +(-1.28075 - 1.07468i) q^{20} +(2.64215 - 3.74420i) q^{21} +(0.0895514 + 0.507871i) q^{22} +(2.28843 - 6.28742i) q^{23} +(-4.35146 - 2.35594i) q^{24} +(-0.534425 + 3.03087i) q^{25} +(2.42307 + 4.19688i) q^{26} +(-5.17864 + 0.426201i) q^{27} +(-2.84824 - 1.43735i) q^{28} +(-0.224543 - 0.616928i) q^{29} +(-0.0585702 - 2.13929i) q^{30} +(1.71407 - 0.302237i) q^{31} +(-1.91332 + 5.25680i) q^{32} +(0.623030 - 0.785175i) q^{33} +(1.32455 - 1.57853i) q^{34} +(-0.206211 - 3.66252i) q^{35} +(0.822168 + 3.52287i) q^{36} +(0.542537 - 0.939702i) q^{37} +(-2.33740 - 1.96131i) q^{38} +(2.97804 - 8.93580i) q^{39} +(-3.90090 + 0.687834i) q^{40} +(1.37400 + 0.500093i) q^{41} +(-1.04255 - 3.94846i) q^{42} +(-0.681623 + 3.86568i) q^{43} +(-0.604328 - 0.348909i) q^{44} +(-3.03529 + 2.84401i) q^{45} +(-2.98132 - 5.16380i) q^{46} +(1.07027 - 6.06980i) q^{47} +(-0.216232 + 0.0854738i) q^{48} +(-1.98167 - 6.71364i) q^{49} +(1.76293 + 2.10098i) q^{50} +(-4.00355 + 0.109611i) q^{51} +(-6.45784 - 1.13869i) q^{52} +(8.16395 + 4.71346i) q^{53} +(-2.67549 + 3.77940i) q^{54} -0.802359i q^{55} +(-6.94625 + 2.98040i) q^{56} +(0.162305 + 5.92822i) q^{57} +(-0.549777 - 0.200103i) q^{58} +(4.76072 + 1.73276i) q^{59} +(2.26844 + 1.79999i) q^{60} +(13.3184 + 2.34839i) q^{61} +(0.775532 - 1.34326i) q^{62} +(-4.39713 + 6.60797i) q^{63} +(2.62687 + 4.54987i) q^{64} +(-2.57878 - 7.08513i) q^{65} +(-0.179124 - 0.875085i) q^{66} +(-6.31050 + 5.29514i) q^{67} +(0.484183 + 2.74594i) q^{68} +(-3.66415 + 10.9945i) q^{69} +(-2.61839 - 1.95720i) q^{70} +(13.6154 - 7.86086i) q^{71} +(7.64580 + 3.87280i) q^{72} +(2.07131 - 1.19587i) q^{73} +(-0.330722 - 0.908652i) q^{74} +(0.781631 - 5.27299i) q^{75} +(4.06603 - 0.716950i) q^{76} +(-0.350210 - 1.49049i) q^{77} +(-4.39425 - 7.15162i) q^{78} +(-2.05377 - 1.72332i) q^{79} +(-0.0930623 + 0.161189i) q^{80} +(8.94611 - 0.983409i) q^{81} +(1.12845 - 0.651511i) q^{82} +(-11.2771 + 4.10455i) q^{83} +(4.99959 + 2.35361i) q^{84} +(-2.45595 + 2.06079i) q^{85} +(2.24850 + 2.67966i) q^{86} +(0.418019 + 1.05751i) q^{87} +(-1.55357 + 0.565453i) q^{88} -11.8321 q^{89} +(0.202817 + 3.70119i) q^{90} +(-7.88293 - 12.0361i) q^{91} +(7.94566 + 1.40103i) q^{92} +(-2.95342 + 0.604546i) q^{93} +(-3.53055 - 4.20755i) q^{94} +(3.05150 + 3.63663i) q^{95} +(3.06354 - 9.19233i) q^{96} +(18.3532 + 3.23616i) q^{97} +(-5.71830 - 2.49291i) q^{98} +(-1.04150 + 1.38899i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} - 18q^{6} - 6q^{7} - 18q^{8} + 3q^{9} + O(q^{10}) \) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} - 18q^{6} - 6q^{7} - 18q^{8} + 3q^{9} - 9q^{11} - 9q^{12} + 3q^{14} - 24q^{15} + 3q^{16} - 18q^{17} - 3q^{18} + 18q^{20} - 21q^{21} - 12q^{22} - 6q^{23} - 9q^{24} - 3q^{25} - 12q^{28} + 6q^{29} + 51q^{30} - 9q^{31} + 3q^{32} - 9q^{33} - 18q^{34} + 18q^{35} + 3q^{37} - 99q^{38} - 36q^{39} - 54q^{40} - 45q^{42} - 12q^{43} - 9q^{44} - 9q^{45} + 3q^{46} + 45q^{47} - 24q^{49} - 9q^{50} - 48q^{51} - 9q^{52} - 45q^{53} + 171q^{54} + 3q^{56} - 3q^{58} + 36q^{59} + 57q^{60} - 9q^{61} - 99q^{62} - 33q^{63} + 18q^{64} + 69q^{65} - 9q^{66} - 3q^{67} + 36q^{68} + 108q^{69} + 66q^{70} + 18q^{71} - 129q^{72} - 9q^{73} + 75q^{74} + 36q^{75} + 36q^{76} + 15q^{77} + 66q^{78} - 21q^{79} + 72q^{80} - 33q^{81} - 18q^{82} - 90q^{83} - 120q^{84} + 9q^{85} - 105q^{86} - 54q^{87} - 63q^{88} - 18q^{89} + 81q^{90} + 6q^{91} + 150q^{92} + 21q^{93} - 9q^{94} + 45q^{95} - 81q^{96} + 27q^{98} + 96q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.572822 0.682663i 0.405046 0.482715i −0.524505 0.851407i \(-0.675750\pi\)
0.929552 + 0.368692i \(0.120194\pi\)
\(3\) −1.73140 + 0.0474030i −0.999625 + 0.0273681i
\(4\) 0.209393 + 1.18753i 0.104697 + 0.593764i
\(5\) −1.06212 + 0.891222i −0.474993 + 0.398567i −0.848612 0.529016i \(-0.822561\pi\)
0.373619 + 0.927582i \(0.378117\pi\)
\(6\) −0.959425 + 1.20912i −0.391684 + 0.493620i
\(7\) −1.58403 + 2.11916i −0.598709 + 0.800967i
\(8\) 2.47415 + 1.42845i 0.874743 + 0.505033i
\(9\) 2.99551 0.164147i 0.998502 0.0547158i
\(10\) 1.23558i 0.390725i
\(11\) −0.371978 + 0.443306i −0.112156 + 0.133662i −0.819201 0.573506i \(-0.805583\pi\)
0.707046 + 0.707168i \(0.250027\pi\)
\(12\) −0.418836 2.04616i −0.120908 0.590676i
\(13\) −1.85992 + 5.11010i −0.515850 + 1.41729i 0.359203 + 0.933260i \(0.383049\pi\)
−0.875053 + 0.484027i \(0.839174\pi\)
\(14\) 0.539301 + 2.29526i 0.144134 + 0.613435i
\(15\) 1.79671 1.59341i 0.463907 0.411417i
\(16\) 0.126145 0.0459131i 0.0315363 0.0114783i
\(17\) 2.31232 0.560820 0.280410 0.959880i \(-0.409530\pi\)
0.280410 + 0.959880i \(0.409530\pi\)
\(18\) 1.60383 2.13895i 0.378027 0.504155i
\(19\) 3.42394i 0.785506i −0.919644 0.392753i \(-0.871523\pi\)
0.919644 0.392753i \(-0.128477\pi\)
\(20\) −1.28075 1.07468i −0.286385 0.240305i
\(21\) 2.64215 3.74420i 0.576564 0.817052i
\(22\) 0.0895514 + 0.507871i 0.0190924 + 0.108279i
\(23\) 2.28843 6.28742i 0.477171 1.31102i −0.434713 0.900569i \(-0.643150\pi\)
0.911884 0.410448i \(-0.134628\pi\)
\(24\) −4.35146 2.35594i −0.888237 0.480904i
\(25\) −0.534425 + 3.03087i −0.106885 + 0.606175i
\(26\) 2.42307 + 4.19688i 0.475203 + 0.823076i
\(27\) −5.17864 + 0.426201i −0.996630 + 0.0820224i
\(28\) −2.84824 1.43735i −0.538268 0.271633i
\(29\) −0.224543 0.616928i −0.0416967 0.114561i 0.917097 0.398664i \(-0.130526\pi\)
−0.958794 + 0.284104i \(0.908304\pi\)
\(30\) −0.0585702 2.13929i −0.0106934 0.390578i
\(31\) 1.71407 0.302237i 0.307857 0.0542834i −0.0175856 0.999845i \(-0.505598\pi\)
0.325442 + 0.945562i \(0.394487\pi\)
\(32\) −1.91332 + 5.25680i −0.338230 + 0.929280i
\(33\) 0.623030 0.785175i 0.108456 0.136681i
\(34\) 1.32455 1.57853i 0.227158 0.270716i
\(35\) −0.206211 3.66252i −0.0348560 0.619079i
\(36\) 0.822168 + 3.52287i 0.137028 + 0.587145i
\(37\) 0.542537 0.939702i 0.0891925 0.154486i −0.817978 0.575250i \(-0.804905\pi\)
0.907170 + 0.420764i \(0.138238\pi\)
\(38\) −2.33740 1.96131i −0.379176 0.318167i
\(39\) 2.97804 8.93580i 0.476869 1.43087i
\(40\) −3.90090 + 0.687834i −0.616787 + 0.108756i
\(41\) 1.37400 + 0.500093i 0.214582 + 0.0781015i 0.447074 0.894497i \(-0.352466\pi\)
−0.232492 + 0.972598i \(0.574688\pi\)
\(42\) −1.04255 3.94846i −0.160869 0.609260i
\(43\) −0.681623 + 3.86568i −0.103947 + 0.589510i 0.887689 + 0.460443i \(0.152309\pi\)
−0.991636 + 0.129067i \(0.958802\pi\)
\(44\) −0.604328 0.348909i −0.0911059 0.0526000i
\(45\) −3.03529 + 2.84401i −0.452474 + 0.423959i
\(46\) −2.98132 5.16380i −0.439572 0.761361i
\(47\) 1.07027 6.06980i 0.156115 0.885372i −0.801645 0.597801i \(-0.796041\pi\)
0.957759 0.287571i \(-0.0928476\pi\)
\(48\) −0.216232 + 0.0854738i −0.0312104 + 0.0123371i
\(49\) −1.98167 6.71364i −0.283095 0.959092i
\(50\) 1.76293 + 2.10098i 0.249316 + 0.297124i
\(51\) −4.00355 + 0.109611i −0.560610 + 0.0153486i
\(52\) −6.45784 1.13869i −0.895541 0.157908i
\(53\) 8.16395 + 4.71346i 1.12141 + 0.647444i 0.941759 0.336288i \(-0.109171\pi\)
0.179646 + 0.983731i \(0.442505\pi\)
\(54\) −2.67549 + 3.77940i −0.364088 + 0.514312i
\(55\) 0.802359i 0.108190i
\(56\) −6.94625 + 2.98040i −0.928231 + 0.398272i
\(57\) 0.162305 + 5.92822i 0.0214979 + 0.785212i
\(58\) −0.549777 0.200103i −0.0721893 0.0262748i
\(59\) 4.76072 + 1.73276i 0.619792 + 0.225586i 0.632782 0.774330i \(-0.281913\pi\)
−0.0129900 + 0.999916i \(0.504135\pi\)
\(60\) 2.26844 + 1.79999i 0.292854 + 0.232377i
\(61\) 13.3184 + 2.34839i 1.70524 + 0.300680i 0.939521 0.342491i \(-0.111271\pi\)
0.765722 + 0.643171i \(0.222382\pi\)
\(62\) 0.775532 1.34326i 0.0984927 0.170594i
\(63\) −4.39713 + 6.60797i −0.553986 + 0.832526i
\(64\) 2.62687 + 4.54987i 0.328359 + 0.568734i
\(65\) −2.57878 7.08513i −0.319858 0.878803i
\(66\) −0.179124 0.875085i −0.0220487 0.107715i
\(67\) −6.31050 + 5.29514i −0.770950 + 0.646904i −0.940952 0.338540i \(-0.890067\pi\)
0.170002 + 0.985444i \(0.445623\pi\)
\(68\) 0.484183 + 2.74594i 0.0587159 + 0.332994i
\(69\) −3.66415 + 10.9945i −0.441112 + 1.32359i
\(70\) −2.61839 1.95720i −0.312957 0.233930i
\(71\) 13.6154 7.86086i 1.61585 0.932913i 0.627875 0.778314i \(-0.283925\pi\)
0.987977 0.154599i \(-0.0494085\pi\)
\(72\) 7.64580 + 3.87280i 0.901066 + 0.456414i
\(73\) 2.07131 1.19587i 0.242429 0.139966i −0.373864 0.927484i \(-0.621967\pi\)
0.616292 + 0.787517i \(0.288634\pi\)
\(74\) −0.330722 0.908652i −0.0384457 0.105629i
\(75\) 0.781631 5.27299i 0.0902550 0.608873i
\(76\) 4.06603 0.716950i 0.466405 0.0822398i
\(77\) −0.350210 1.49049i −0.0399102 0.169858i
\(78\) −4.39425 7.15162i −0.497551 0.809762i
\(79\) −2.05377 1.72332i −0.231067 0.193889i 0.519901 0.854226i \(-0.325969\pi\)
−0.750969 + 0.660338i \(0.770413\pi\)
\(80\) −0.0930623 + 0.161189i −0.0104047 + 0.0180214i
\(81\) 8.94611 0.983409i 0.994012 0.109268i
\(82\) 1.12845 0.651511i 0.124616 0.0719473i
\(83\) −11.2771 + 4.10455i −1.23783 + 0.450532i −0.876271 0.481818i \(-0.839977\pi\)
−0.361556 + 0.932350i \(0.617754\pi\)
\(84\) 4.99959 + 2.35361i 0.545500 + 0.256800i
\(85\) −2.45595 + 2.06079i −0.266386 + 0.223524i
\(86\) 2.24850 + 2.67966i 0.242462 + 0.288956i
\(87\) 0.418019 + 1.05751i 0.0448164 + 0.113377i
\(88\) −1.55357 + 0.565453i −0.165611 + 0.0602775i
\(89\) −11.8321 −1.25420 −0.627099 0.778940i \(-0.715758\pi\)
−0.627099 + 0.778940i \(0.715758\pi\)
\(90\) 0.202817 + 3.70119i 0.0213788 + 0.390139i
\(91\) −7.88293 12.0361i −0.826356 1.26172i
\(92\) 7.94566 + 1.40103i 0.828392 + 0.146068i
\(93\) −2.95342 + 0.604546i −0.306256 + 0.0626885i
\(94\) −3.53055 4.20755i −0.364149 0.433976i
\(95\) 3.05150 + 3.63663i 0.313077 + 0.373110i
\(96\) 3.06354 9.19233i 0.312671 0.938188i
\(97\) 18.3532 + 3.23616i 1.86348 + 0.328582i 0.987974 0.154618i \(-0.0494148\pi\)
0.875510 + 0.483201i \(0.160526\pi\)
\(98\) −5.71830 2.49291i −0.577635 0.251822i
\(99\) −1.04150 + 1.38899i −0.104674 + 0.139598i
\(100\) −3.71115 −0.371115
\(101\) 11.4438 4.16521i 1.13870 0.414454i 0.297259 0.954797i \(-0.403928\pi\)
0.841445 + 0.540343i \(0.181705\pi\)
\(102\) −2.21850 + 2.79586i −0.219664 + 0.276832i
\(103\) 8.26065 + 9.84467i 0.813947 + 0.970024i 0.999921 0.0125308i \(-0.00398878\pi\)
−0.185975 + 0.982554i \(0.559544\pi\)
\(104\) −11.9012 + 9.98633i −1.16701 + 0.979241i
\(105\) 0.530649 + 6.33152i 0.0517860 + 0.617894i
\(106\) 7.89420 2.87325i 0.766752 0.279075i
\(107\) −8.97631 + 5.18247i −0.867772 + 0.501009i −0.866607 0.498991i \(-0.833704\pi\)
−0.00116512 + 0.999999i \(0.500371\pi\)
\(108\) −1.59050 6.06054i −0.153046 0.583175i
\(109\) 8.42552 14.5934i 0.807019 1.39780i −0.107901 0.994162i \(-0.534413\pi\)
0.914920 0.403636i \(-0.132254\pi\)
\(110\) −0.547741 0.459609i −0.0522250 0.0438220i
\(111\) −0.894805 + 1.65272i −0.0849311 + 0.156869i
\(112\) −0.102521 + 0.340050i −0.00968735 + 0.0321317i
\(113\) −20.0144 + 3.52907i −1.88279 + 0.331987i −0.992385 0.123174i \(-0.960693\pi\)
−0.890409 + 0.455162i \(0.849581\pi\)
\(114\) 4.13995 + 3.28502i 0.387742 + 0.307670i
\(115\) 3.17290 + 8.71748i 0.295875 + 0.812909i
\(116\) 0.685601 0.395832i 0.0636564 0.0367521i
\(117\) −4.73261 + 15.6126i −0.437530 + 1.44339i
\(118\) 3.90993 2.25740i 0.359939 0.207811i
\(119\) −3.66279 + 4.90017i −0.335768 + 0.449198i
\(120\) 6.72142 1.37583i 0.613579 0.125596i
\(121\) 1.85198 + 10.5031i 0.168362 + 0.954826i
\(122\) 9.23222 7.74675i 0.835846 0.701358i
\(123\) −2.40264 0.800731i −0.216639 0.0721995i
\(124\) 0.717830 + 1.97222i 0.0644630 + 0.177111i
\(125\) −5.59980 9.69914i −0.500861 0.867517i
\(126\) 1.99224 + 6.78695i 0.177483 + 0.604629i
\(127\) −0.987545 + 1.71048i −0.0876305 + 0.151780i −0.906509 0.422186i \(-0.861263\pi\)
0.818879 + 0.573967i \(0.194596\pi\)
\(128\) −6.40760 1.12983i −0.566358 0.0998641i
\(129\) 0.996919 6.72535i 0.0877738 0.592134i
\(130\) −6.31394 2.29809i −0.553769 0.201555i
\(131\) −2.09647 0.763054i −0.183170 0.0666683i 0.248807 0.968553i \(-0.419962\pi\)
−0.431977 + 0.901885i \(0.642184\pi\)
\(132\) 1.06287 + 0.575455i 0.0925113 + 0.0500869i
\(133\) 7.25588 + 5.42365i 0.629165 + 0.470290i
\(134\) 7.34111i 0.634176i
\(135\) 5.12049 5.06800i 0.440701 0.436184i
\(136\) 5.72102 + 3.30303i 0.490573 + 0.283233i
\(137\) 1.31325 + 0.231561i 0.112198 + 0.0197836i 0.229465 0.973317i \(-0.426302\pi\)
−0.117267 + 0.993100i \(0.537413\pi\)
\(138\) 5.40664 + 8.79929i 0.460244 + 0.749045i
\(139\) −9.79765 11.6764i −0.831026 0.990378i −0.999989 0.00475527i \(-0.998486\pi\)
0.168963 0.985622i \(-0.445958\pi\)
\(140\) 4.30617 1.01179i 0.363937 0.0855117i
\(141\) −1.56534 + 10.5600i −0.131825 + 0.889313i
\(142\) 2.43289 13.7976i 0.204164 1.15787i
\(143\) −1.57349 2.72536i −0.131582 0.227906i
\(144\) 0.370332 0.158239i 0.0308610 0.0131866i
\(145\) 0.788312 + 0.455132i 0.0654657 + 0.0377967i
\(146\) 0.370115 2.09903i 0.0306310 0.173717i
\(147\) 3.74931 + 11.5301i 0.309238 + 0.950985i
\(148\) 1.22952 + 0.447510i 0.101066 + 0.0367851i
\(149\) −19.6318 + 3.46162i −1.60830 + 0.283587i −0.904392 0.426703i \(-0.859675\pi\)
−0.703909 + 0.710290i \(0.748564\pi\)
\(150\) −3.15194 3.55408i −0.257355 0.290189i
\(151\) −2.21309 1.85701i −0.180099 0.151121i 0.548282 0.836294i \(-0.315282\pi\)
−0.728381 + 0.685173i \(0.759727\pi\)
\(152\) 4.89093 8.47134i 0.396707 0.687116i
\(153\) 6.92656 0.379561i 0.559980 0.0306857i
\(154\) −1.21811 0.614712i −0.0981583 0.0495349i
\(155\) −1.55119 + 1.84863i −0.124594 + 0.148486i
\(156\) 11.2351 + 1.66541i 0.899527 + 0.133340i
\(157\) −2.77826 + 7.63321i −0.221729 + 0.609197i −0.999820 0.0189550i \(-0.993966\pi\)
0.778091 + 0.628152i \(0.216188\pi\)
\(158\) −2.35289 + 0.414878i −0.187186 + 0.0330059i
\(159\) −14.3585 7.77390i −1.13870 0.616510i
\(160\) −2.65281 7.28853i −0.209723 0.576209i
\(161\) 9.69908 + 14.8090i 0.764394 + 1.16712i
\(162\) 4.45319 6.67049i 0.349876 0.524084i
\(163\) 0.518631 + 0.898295i 0.0406223 + 0.0703599i 0.885622 0.464407i \(-0.153733\pi\)
−0.844999 + 0.534767i \(0.820399\pi\)
\(164\) −0.306169 + 1.73637i −0.0239078 + 0.135588i
\(165\) 0.0380342 + 1.38921i 0.00296096 + 0.108150i
\(166\) −3.65778 + 10.0497i −0.283899 + 0.780005i
\(167\) −2.43922 13.8335i −0.188753 1.07047i −0.921038 0.389472i \(-0.872658\pi\)
0.732286 0.680998i \(-0.238454\pi\)
\(168\) 11.8855 5.48954i 0.916984 0.423527i
\(169\) −12.6952 10.6526i −0.976556 0.819428i
\(170\) 2.85705i 0.219126i
\(171\) −0.562031 10.2564i −0.0429796 0.784330i
\(172\) −4.73332 −0.360912
\(173\) −5.50262 + 2.00279i −0.418356 + 0.152269i −0.542617 0.839980i \(-0.682566\pi\)
0.124260 + 0.992250i \(0.460344\pi\)
\(174\) 0.961371 + 0.320397i 0.0728813 + 0.0242892i
\(175\) −5.57635 5.93354i −0.421533 0.448533i
\(176\) −0.0265697 + 0.0729997i −0.00200277 + 0.00550256i
\(177\) −8.32485 2.77443i −0.625734 0.208539i
\(178\) −6.77767 + 8.07732i −0.508008 + 0.605420i
\(179\) 8.49786i 0.635160i −0.948232 0.317580i \(-0.897130\pi\)
0.948232 0.317580i \(-0.102870\pi\)
\(180\) −4.01290 3.00897i −0.299104 0.224275i
\(181\) 5.00733 + 2.89098i 0.372192 + 0.214885i 0.674416 0.738352i \(-0.264396\pi\)
−0.302224 + 0.953237i \(0.597729\pi\)
\(182\) −12.7321 1.51313i −0.943765 0.112161i
\(183\) −23.1708 3.43468i −1.71283 0.253898i
\(184\) 14.6432 12.2871i 1.07951 0.905816i
\(185\) 0.261245 + 1.48159i 0.0192071 + 0.108929i
\(186\) −1.27908 + 2.36249i −0.0937870 + 0.173226i
\(187\) −0.860132 + 1.02507i −0.0628991 + 0.0749602i
\(188\) 7.43216 0.542046
\(189\) 7.29996 11.6495i 0.530994 0.847375i
\(190\) 4.23056 0.306917
\(191\) 15.2886 18.2202i 1.10624 1.31837i 0.162864 0.986649i \(-0.447927\pi\)
0.943378 0.331719i \(-0.107629\pi\)
\(192\) −4.76385 7.75314i −0.343801 0.559535i
\(193\) −3.28572 18.6342i −0.236511 1.34132i −0.839408 0.543502i \(-0.817098\pi\)
0.602897 0.797819i \(-0.294013\pi\)
\(194\) 12.7223 10.6753i 0.913409 0.766441i
\(195\) 4.80076 + 12.1450i 0.343789 + 0.869720i
\(196\) 7.55768 3.75907i 0.539835 0.268505i
\(197\) −9.22224 5.32447i −0.657058 0.379352i 0.134097 0.990968i \(-0.457187\pi\)
−0.791155 + 0.611616i \(0.790520\pi\)
\(198\) 0.351618 + 1.50663i 0.0249884 + 0.107072i
\(199\) 10.0273i 0.710813i 0.934712 + 0.355407i \(0.115658\pi\)
−0.934712 + 0.355407i \(0.884342\pi\)
\(200\) −5.65169 + 6.73543i −0.399635 + 0.476267i
\(201\) 10.6750 9.46715i 0.752957 0.667761i
\(202\) 3.71184 10.1982i 0.261164 0.717543i
\(203\) 1.66305 + 0.501392i 0.116723 + 0.0351908i
\(204\) −0.968482 4.73138i −0.0678073 0.331263i
\(205\) −1.90504 + 0.693377i −0.133054 + 0.0484276i
\(206\) 11.4525 0.797931
\(207\) 5.82295 19.2096i 0.404723 1.33516i
\(208\) 0.730010i 0.0506171i
\(209\) 1.51786 + 1.27363i 0.104992 + 0.0880990i
\(210\) 4.62626 + 3.26458i 0.319242 + 0.225278i
\(211\) −1.04018 5.89915i −0.0716089 0.406114i −0.999451 0.0331403i \(-0.989449\pi\)
0.927842 0.372974i \(-0.121662\pi\)
\(212\) −3.88789 + 10.6819i −0.267021 + 0.733635i
\(213\) −23.2011 + 14.2557i −1.58972 + 0.976786i
\(214\) −1.60395 + 9.09643i −0.109643 + 0.621819i
\(215\) −2.72121 4.71328i −0.185585 0.321443i
\(216\) −13.4215 6.34295i −0.913220 0.431583i
\(217\) −2.07466 + 4.11115i −0.140837 + 0.279083i
\(218\) −5.13607 14.1112i −0.347858 0.955733i
\(219\) −3.52958 + 2.16872i −0.238507 + 0.146549i
\(220\) 0.952823 0.168008i 0.0642393 0.0113271i
\(221\) −4.30074 + 11.8162i −0.289299 + 0.794842i
\(222\) 0.615686 + 1.55756i 0.0413221 + 0.104537i
\(223\) 3.68146 4.38739i 0.246528 0.293801i −0.628563 0.777759i \(-0.716357\pi\)
0.875092 + 0.483957i \(0.160801\pi\)
\(224\) −8.10923 12.3816i −0.541821 0.827279i
\(225\) −1.10336 + 9.16672i −0.0735575 + 0.611115i
\(226\) −9.05551 + 15.6846i −0.602363 + 1.04332i
\(227\) 13.5450 + 11.3656i 0.899011 + 0.754359i 0.969997 0.243118i \(-0.0781702\pi\)
−0.0709862 + 0.997477i \(0.522615\pi\)
\(228\) −7.00594 + 1.43407i −0.463980 + 0.0949736i
\(229\) 13.5151 2.38308i 0.893103 0.157478i 0.291781 0.956485i \(-0.405752\pi\)
0.601322 + 0.799007i \(0.294641\pi\)
\(230\) 7.76861 + 2.82754i 0.512247 + 0.186443i
\(231\) 0.677009 + 2.56404i 0.0445439 + 0.168702i
\(232\) 0.325697 1.84712i 0.0213831 0.121269i
\(233\) 7.92072 + 4.57303i 0.518904 + 0.299589i 0.736486 0.676453i \(-0.236484\pi\)
−0.217582 + 0.976042i \(0.569817\pi\)
\(234\) 7.94723 + 12.1740i 0.519526 + 0.795842i
\(235\) 4.27279 + 7.40069i 0.278726 + 0.482768i
\(236\) −1.06084 + 6.01631i −0.0690546 + 0.391628i
\(237\) 3.63759 + 2.88640i 0.236287 + 0.187492i
\(238\) 1.24704 + 5.30738i 0.0808333 + 0.344026i
\(239\) 1.62286 + 1.93405i 0.104974 + 0.125103i 0.815973 0.578089i \(-0.196202\pi\)
−0.710999 + 0.703193i \(0.751757\pi\)
\(240\) 0.153487 0.283494i 0.00990757 0.0182994i
\(241\) 7.08366 + 1.24904i 0.456299 + 0.0804578i 0.397073 0.917787i \(-0.370026\pi\)
0.0592254 + 0.998245i \(0.481137\pi\)
\(242\) 8.23092 + 4.75212i 0.529103 + 0.305478i
\(243\) −15.4427 + 2.12675i −0.990650 + 0.136431i
\(244\) 16.3077i 1.04399i
\(245\) 8.08811 + 5.36457i 0.516731 + 0.342730i
\(246\) −1.92292 + 1.18152i −0.122601 + 0.0753309i
\(247\) 17.4967 + 6.36828i 1.11329 + 0.405204i
\(248\) 4.67260 + 1.70069i 0.296710 + 0.107994i
\(249\) 19.3307 7.64119i 1.22503 0.484241i
\(250\) −9.82893 1.73311i −0.621636 0.109611i
\(251\) −0.469593 + 0.813359i −0.0296405 + 0.0513388i −0.880465 0.474111i \(-0.842770\pi\)
0.850825 + 0.525450i \(0.176103\pi\)
\(252\) −8.76787 3.83805i −0.552324 0.241774i
\(253\) 1.93601 + 3.35326i 0.121716 + 0.210818i
\(254\) 0.601992 + 1.65396i 0.0377724 + 0.103779i
\(255\) 4.15456 3.68448i 0.260168 0.230731i
\(256\) −12.4909 + 10.4811i −0.780682 + 0.655070i
\(257\) −3.40273 19.2978i −0.212256 1.20377i −0.885604 0.464441i \(-0.846255\pi\)
0.673348 0.739326i \(-0.264856\pi\)
\(258\) −4.02009 4.53299i −0.250280 0.282212i
\(259\) 1.13198 + 2.63824i 0.0703378 + 0.163932i
\(260\) 7.87381 4.54595i 0.488313 0.281928i
\(261\) −0.773888 1.81115i −0.0479025 0.112108i
\(262\) −1.72181 + 0.994090i −0.106374 + 0.0614151i
\(263\) 4.07910 + 11.2072i 0.251528 + 0.691068i 0.999622 + 0.0274758i \(0.00874693\pi\)
−0.748094 + 0.663593i \(0.769031\pi\)
\(264\) 2.66305 1.05267i 0.163899 0.0647874i
\(265\) −12.8718 + 2.26965i −0.790710 + 0.139423i
\(266\) 7.85885 1.84654i 0.481857 0.113218i
\(267\) 20.4861 0.560876i 1.25373 0.0343251i
\(268\) −7.60949 6.38512i −0.464824 0.390033i
\(269\) −8.21836 + 14.2346i −0.501082 + 0.867900i 0.498917 + 0.866650i \(0.333731\pi\)
−0.999999 + 0.00125014i \(0.999602\pi\)
\(270\) −0.526605 6.39863i −0.0320482 0.389408i
\(271\) −12.7971 + 7.38840i −0.777367 + 0.448813i −0.835496 0.549496i \(-0.814820\pi\)
0.0581291 + 0.998309i \(0.481487\pi\)
\(272\) 0.291688 0.106166i 0.0176862 0.00643725i
\(273\) 14.2191 + 20.4656i 0.860577 + 1.23863i
\(274\) 0.910336 0.763863i 0.0549954 0.0461466i
\(275\) −1.14481 1.36433i −0.0690347 0.0822724i
\(276\) −13.8235 2.04911i −0.832080 0.123342i
\(277\) −26.0466 + 9.48020i −1.56499 + 0.569610i −0.971873 0.235506i \(-0.924325\pi\)
−0.593118 + 0.805116i \(0.702103\pi\)
\(278\) −13.5833 −0.814674
\(279\) 5.08490 1.18671i 0.304425 0.0710467i
\(280\) 4.72153 9.35618i 0.282166 0.559139i
\(281\) 6.13171 + 1.08119i 0.365787 + 0.0644981i 0.353521 0.935427i \(-0.384984\pi\)
0.0122663 + 0.999925i \(0.496095\pi\)
\(282\) 6.31226 + 7.11760i 0.375889 + 0.423847i
\(283\) 3.53087 + 4.20792i 0.209888 + 0.250135i 0.860710 0.509095i \(-0.170020\pi\)
−0.650822 + 0.759230i \(0.725576\pi\)
\(284\) 12.1860 + 14.5227i 0.723104 + 0.861762i
\(285\) −5.45575 6.15182i −0.323171 0.364402i
\(286\) −2.76183 0.486986i −0.163311 0.0287961i
\(287\) −3.23623 + 2.11955i −0.191029 + 0.125113i
\(288\) −4.86847 + 16.0608i −0.286877 + 0.946394i
\(289\) −11.6532 −0.685481
\(290\) 0.762264 0.277441i 0.0447617 0.0162919i
\(291\) −31.9301 4.73310i −1.87178 0.277459i
\(292\) 1.85385 + 2.20933i 0.108488 + 0.129291i
\(293\) 17.8320 14.9629i 1.04176 0.874140i 0.0495561 0.998771i \(-0.484219\pi\)
0.992203 + 0.124632i \(0.0397749\pi\)
\(294\) 10.0188 + 4.04517i 0.584311 + 0.235919i
\(295\) −6.60071 + 2.40246i −0.384308 + 0.139877i
\(296\) 2.68463 1.54997i 0.156041 0.0900904i
\(297\) 1.73741 2.45426i 0.100814 0.142411i
\(298\) −8.88242 + 15.3848i −0.514545 + 0.891218i
\(299\) 27.8730 + 23.3882i 1.61194 + 1.35258i
\(300\) 6.42549 0.175920i 0.370976 0.0101567i
\(301\) −7.11227 7.56783i −0.409944 0.436203i
\(302\) −2.53542 + 0.447062i −0.145897 + 0.0257255i
\(303\) −19.6164 + 7.75413i −1.12693 + 0.445463i
\(304\) −0.157204 0.431914i −0.00901627 0.0247720i
\(305\) −16.2386 + 9.37537i −0.929821 + 0.536832i
\(306\) 3.70858 4.94593i 0.212005 0.282740i
\(307\) 15.1010 8.71859i 0.861862 0.497596i −0.00277334 0.999996i \(-0.500883\pi\)
0.864635 + 0.502400i \(0.167549\pi\)
\(308\) 1.69667 0.727983i 0.0966768 0.0414807i
\(309\) −14.7692 16.6535i −0.840189 0.947384i
\(310\) 0.373438 + 2.11787i 0.0212099 + 0.120287i
\(311\) −1.15637 + 0.970311i −0.0655718 + 0.0550213i −0.674985 0.737832i \(-0.735850\pi\)
0.609413 + 0.792853i \(0.291405\pi\)
\(312\) 20.1325 17.8545i 1.13978 1.01081i
\(313\) −9.95908 27.3624i −0.562921 1.54661i −0.815333 0.578992i \(-0.803446\pi\)
0.252413 0.967620i \(-0.418776\pi\)
\(314\) 3.61946 + 6.26909i 0.204258 + 0.353785i
\(315\) −1.21890 10.9373i −0.0686772 0.616245i
\(316\) 1.61644 2.79976i 0.0909320 0.157499i
\(317\) 29.9400 + 5.27923i 1.68160 + 0.296511i 0.931209 0.364486i \(-0.118755\pi\)
0.750388 + 0.660997i \(0.229866\pi\)
\(318\) −13.5318 + 5.34896i −0.758827 + 0.299955i
\(319\) 0.357014 + 0.129942i 0.0199889 + 0.00727537i
\(320\) −6.84500 2.49137i −0.382647 0.139272i
\(321\) 15.2959 9.39845i 0.853736 0.524570i
\(322\) 15.6654 + 1.86174i 0.873000 + 0.103751i
\(323\) 7.91725i 0.440527i
\(324\) 3.04108 + 10.4178i 0.168949 + 0.578768i
\(325\) −14.4941 8.36816i −0.803987 0.464182i
\(326\) 0.910316 + 0.160513i 0.0504177 + 0.00889000i
\(327\) −13.8962 + 25.6665i −0.768461 + 1.41936i
\(328\) 2.68511 + 3.19999i 0.148260 + 0.176690i
\(329\) 11.1675 + 11.8828i 0.615686 + 0.655123i
\(330\) 0.970146 + 0.769803i 0.0534048 + 0.0423763i
\(331\) −4.91465 + 27.8723i −0.270133 + 1.53200i 0.483875 + 0.875137i \(0.339229\pi\)
−0.754008 + 0.656865i \(0.771882\pi\)
\(332\) −7.23562 12.5325i −0.397106 0.687808i
\(333\) 1.47092 2.90394i 0.0806061 0.159135i
\(334\) −10.8409 6.25898i −0.593186 0.342476i
\(335\) 1.98335 11.2481i 0.108362 0.614550i
\(336\) 0.161386 0.593623i 0.00880434 0.0323848i
\(337\) 7.63576 + 2.77919i 0.415946 + 0.151392i 0.541512 0.840693i \(-0.317852\pi\)
−0.125565 + 0.992085i \(0.540074\pi\)
\(338\) −14.5442 + 2.56454i −0.791101 + 0.139492i
\(339\) 34.4856 7.05899i 1.87300 0.383392i
\(340\) −2.96150 2.48500i −0.160610 0.134768i
\(341\) −0.503614 + 0.872285i −0.0272722 + 0.0472369i
\(342\) −7.32363 5.49144i −0.396017 0.296943i
\(343\) 17.3663 + 6.43517i 0.937692 + 0.347467i
\(344\) −7.20836 + 8.59059i −0.388649 + 0.463174i
\(345\) −5.90680 14.9431i −0.318012 0.804507i
\(346\) −1.78479 + 4.90368i −0.0959510 + 0.263623i
\(347\) 13.5586 2.39075i 0.727863 0.128342i 0.202576 0.979267i \(-0.435069\pi\)
0.525288 + 0.850925i \(0.323958\pi\)
\(348\) −1.16829 + 0.717844i −0.0626268 + 0.0384805i
\(349\) 0.460133 + 1.26420i 0.0246303 + 0.0676713i 0.951398 0.307963i \(-0.0996472\pi\)
−0.926768 + 0.375634i \(0.877425\pi\)
\(350\) −7.24486 + 0.407907i −0.387254 + 0.0218036i
\(351\) 7.45396 27.2561i 0.397863 1.45482i
\(352\) −1.61866 2.80360i −0.0862749 0.149432i
\(353\) 2.73545 15.5135i 0.145593 0.825701i −0.821295 0.570503i \(-0.806748\pi\)
0.966889 0.255198i \(-0.0821407\pi\)
\(354\) −6.66266 + 4.09381i −0.354116 + 0.217584i
\(355\) −7.45539 + 20.4835i −0.395691 + 1.08715i
\(356\) −2.47755 14.0509i −0.131310 0.744697i
\(357\) 6.10948 8.65779i 0.323348 0.458219i
\(358\) −5.80117 4.86776i −0.306601 0.257269i
\(359\) 29.9732i 1.58192i 0.611866 + 0.790962i \(0.290419\pi\)
−0.611866 + 0.790962i \(0.709581\pi\)
\(360\) −11.5723 + 2.70073i −0.609912 + 0.142341i
\(361\) 7.27661 0.382980
\(362\) 4.84188 1.76230i 0.254483 0.0926244i
\(363\) −3.70439 18.0973i −0.194430 0.949860i
\(364\) 12.6425 11.8815i 0.662647 0.622758i
\(365\) −1.13419 + 3.11616i −0.0593661 + 0.163107i
\(366\) −15.6175 + 13.8504i −0.816338 + 0.723971i
\(367\) −3.07129 + 3.66022i −0.160320 + 0.191062i −0.840225 0.542239i \(-0.817577\pi\)
0.679904 + 0.733301i \(0.262021\pi\)
\(368\) 0.898197i 0.0468218i
\(369\) 4.19790 + 1.27249i 0.218534 + 0.0662434i
\(370\) 1.16108 + 0.670348i 0.0603615 + 0.0348497i
\(371\) −22.9206 + 9.83443i −1.18998 + 0.510578i
\(372\) −1.33634 3.38068i −0.0692861 0.175280i
\(373\) 10.5947 8.89000i 0.548572 0.460307i −0.325885 0.945409i \(-0.605662\pi\)
0.874457 + 0.485103i \(0.161218\pi\)
\(374\) 0.207071 + 1.17436i 0.0107074 + 0.0607247i
\(375\) 10.1553 + 16.5277i 0.524416 + 0.853485i
\(376\) 11.3184 13.4888i 0.583703 0.695630i
\(377\) 3.57020 0.183875
\(378\) −3.77109 11.6565i −0.193964 0.599545i
\(379\) −8.84194 −0.454180 −0.227090 0.973874i \(-0.572921\pi\)
−0.227090 + 0.973874i \(0.572921\pi\)
\(380\) −3.67963 + 4.38522i −0.188761 + 0.224957i
\(381\) 1.62876 3.00834i 0.0834437 0.154122i
\(382\) −3.68063 20.8739i −0.188317 1.06800i
\(383\) 23.0477 19.3393i 1.17768 0.988193i 0.177691 0.984086i \(-0.443137\pi\)
0.999992 0.00410677i \(-0.00130723\pi\)
\(384\) 11.1477 + 1.65246i 0.568878 + 0.0843265i
\(385\) 1.70033 + 1.27096i 0.0866566 + 0.0647743i
\(386\) −14.6030 8.43106i −0.743274 0.429130i
\(387\) −1.40727 + 11.6915i −0.0715353 + 0.594315i
\(388\) 22.4725i 1.14087i
\(389\) 6.35574 7.57448i 0.322249 0.384041i −0.580463 0.814286i \(-0.697128\pi\)
0.902712 + 0.430245i \(0.141573\pi\)
\(390\) 11.0409 + 3.67961i 0.559078 + 0.186324i
\(391\) 5.29159 14.5385i 0.267607 0.735244i
\(392\) 4.68716 19.4413i 0.236737 0.981932i
\(393\) 3.66601 + 1.22177i 0.184926 + 0.0616303i
\(394\) −8.91752 + 3.24571i −0.449258 + 0.163517i
\(395\) 3.71721 0.187033
\(396\) −1.86754 0.945960i −0.0938475 0.0475363i
\(397\) 11.4899i 0.576660i −0.957531 0.288330i \(-0.906900\pi\)
0.957531 0.288330i \(-0.0931000\pi\)
\(398\) 6.84523 + 5.74383i 0.343121 + 0.287912i
\(399\) −12.8199 9.04656i −0.641800 0.452894i
\(400\) 0.0717417 + 0.406867i 0.00358709 + 0.0203434i
\(401\) 5.63819 15.4908i 0.281558 0.773573i −0.715620 0.698490i \(-0.753856\pi\)
0.997177 0.0750829i \(-0.0239221\pi\)
\(402\) −0.347991 12.7104i −0.0173562 0.633938i
\(403\) −1.64358 + 9.32122i −0.0818727 + 0.464323i
\(404\) 7.34256 + 12.7177i 0.365306 + 0.632729i
\(405\) −8.62539 + 9.01747i −0.428599 + 0.448082i
\(406\) 1.29492 0.848096i 0.0642656 0.0420903i
\(407\) 0.214764 + 0.590059i 0.0106454 + 0.0292481i
\(408\) −10.0620 5.44768i −0.498141 0.269700i
\(409\) 8.98833 1.58489i 0.444444 0.0783675i 0.0530527 0.998592i \(-0.483105\pi\)
0.391392 + 0.920224i \(0.371994\pi\)
\(410\) −0.617905 + 1.69768i −0.0305162 + 0.0838425i
\(411\) −2.28474 0.338674i −0.112698 0.0167055i
\(412\) −9.96108 + 11.8712i −0.490747 + 0.584850i
\(413\) −11.2131 + 7.34396i −0.551762 + 0.361373i
\(414\) −9.77819 14.9788i −0.480572 0.736169i
\(415\) 8.31959 14.4100i 0.408393 0.707357i
\(416\) −23.3041 19.5545i −1.14258 0.958738i
\(417\) 17.5172 + 19.7521i 0.857819 + 0.967263i
\(418\) 1.73892 0.306619i 0.0850535 0.0149972i
\(419\) −27.5287 10.0196i −1.34487 0.489492i −0.433525 0.901142i \(-0.642730\pi\)
−0.911342 + 0.411650i \(0.864953\pi\)
\(420\) −7.40774 + 1.95594i −0.361461 + 0.0954399i
\(421\) 2.05835 11.6735i 0.100318 0.568930i −0.892670 0.450711i \(-0.851171\pi\)
0.992988 0.118219i \(-0.0377184\pi\)
\(422\) −4.62297 2.66907i −0.225042 0.129928i
\(423\) 2.20966 18.3578i 0.107437 0.892587i
\(424\) 13.4659 + 23.3236i 0.653961 + 1.13269i
\(425\) −1.23576 + 7.00834i −0.0599432 + 0.339955i
\(426\) −3.55826 + 24.0045i −0.172398 + 1.16302i
\(427\) −26.0734 + 24.5038i −1.26178 + 1.18582i
\(428\) −8.03390 9.57443i −0.388333 0.462798i
\(429\) 2.85353 + 4.64411i 0.137770 + 0.224220i
\(430\) −4.77635 0.842200i −0.230336 0.0406145i
\(431\) −10.4044 6.00699i −0.501163 0.289347i 0.228031 0.973654i \(-0.426771\pi\)
−0.729194 + 0.684307i \(0.760105\pi\)
\(432\) −0.633693 + 0.291531i −0.0304886 + 0.0140263i
\(433\) 1.86378i 0.0895673i 0.998997 + 0.0447837i \(0.0142599\pi\)
−0.998997 + 0.0447837i \(0.985740\pi\)
\(434\) 1.61811 + 3.77125i 0.0776720 + 0.181026i
\(435\) −1.38646 0.750648i −0.0664756 0.0359908i
\(436\) 19.0943 + 6.94977i 0.914453 + 0.332834i
\(437\) −21.5278 7.83546i −1.02981 0.374821i
\(438\) −0.541318 + 3.65181i −0.0258652 + 0.174490i
\(439\) 25.7176 + 4.53471i 1.22744 + 0.216430i 0.749524 0.661978i \(-0.230283\pi\)
0.477912 + 0.878408i \(0.341394\pi\)
\(440\) 1.14613 1.98515i 0.0546396 0.0946385i
\(441\) −7.03813 19.7855i −0.335149 0.942165i
\(442\) 5.60291 + 9.70452i 0.266503 + 0.461597i
\(443\) −2.67757 7.35657i −0.127215 0.349521i 0.859691 0.510814i \(-0.170656\pi\)
−0.986907 + 0.161293i \(0.948434\pi\)
\(444\) −2.15001 0.716537i −0.102035 0.0340053i
\(445\) 12.5671 10.5450i 0.595735 0.499881i
\(446\) −0.886287 5.02638i −0.0419669 0.238006i
\(447\) 33.8265 6.92406i 1.59994 0.327497i
\(448\) −13.8030 1.64040i −0.652129 0.0775017i
\(449\) 2.53492 1.46354i 0.119630 0.0690687i −0.438991 0.898492i \(-0.644664\pi\)
0.558621 + 0.829423i \(0.311331\pi\)
\(450\) 5.62575 + 6.00412i 0.265200 + 0.283037i
\(451\) −0.732791 + 0.423077i −0.0345058 + 0.0199219i
\(452\) −8.38174 23.0286i −0.394244 1.08318i
\(453\) 3.91978 + 3.11032i 0.184167 + 0.146135i
\(454\) 15.5177 2.73619i 0.728282 0.128416i
\(455\) 19.0994 + 5.75826i 0.895394 + 0.269951i
\(456\) −8.06660 + 14.8991i −0.377753 + 0.697716i
\(457\) −18.8614 15.8266i −0.882297 0.740335i 0.0843528 0.996436i \(-0.473118\pi\)
−0.966650 + 0.256101i \(0.917562\pi\)
\(458\) 6.11491 10.5913i 0.285731 0.494900i
\(459\) −11.9747 + 0.985513i −0.558930 + 0.0459998i
\(460\) −9.68786 + 5.59329i −0.451699 + 0.260788i
\(461\) −35.5416 + 12.9361i −1.65534 + 0.602493i −0.989620 0.143711i \(-0.954096\pi\)
−0.665717 + 0.746204i \(0.731874\pi\)
\(462\) 2.13818 + 1.00657i 0.0994772 + 0.0468300i
\(463\) −8.27501 + 6.94356i −0.384572 + 0.322695i −0.814494 0.580171i \(-0.802986\pi\)
0.429922 + 0.902866i \(0.358541\pi\)
\(464\) −0.0566502 0.0675131i −0.00262992 0.00313422i
\(465\) 2.59810 3.27425i 0.120484 0.151840i
\(466\) 7.65900 2.78765i 0.354796 0.129135i
\(467\) −29.0369 −1.34367 −0.671833 0.740702i \(-0.734493\pi\)
−0.671833 + 0.740702i \(0.734493\pi\)
\(468\) −19.5314 2.35092i −0.902840 0.108671i
\(469\) −1.22519 21.7606i −0.0565739 1.00481i
\(470\) 7.49973 + 1.32240i 0.345937 + 0.0609979i
\(471\) 4.44845 13.3479i 0.204974 0.615037i
\(472\) 9.30356 + 11.0875i 0.428231 + 0.510346i
\(473\) −1.46013 1.74012i −0.0671369 0.0800106i
\(474\) 4.05413 0.829855i 0.186213 0.0381165i
\(475\) 10.3775 + 1.82984i 0.476154 + 0.0839588i
\(476\) −6.58605 3.32360i −0.301871 0.152337i
\(477\) 25.2289 + 12.7791i 1.15515 + 0.585115i
\(478\) 2.24991 0.102909
\(479\) −12.8160 + 4.66466i −0.585580 + 0.213134i −0.617784 0.786348i \(-0.711969\pi\)
0.0322044 + 0.999481i \(0.489747\pi\)
\(480\) 4.93858 + 12.4936i 0.225414 + 0.570253i
\(481\) 3.79289 + 4.52019i 0.172941 + 0.206103i
\(482\) 4.91035 4.12027i 0.223660 0.187673i
\(483\) −17.4950 25.1806i −0.796050 1.14576i
\(484\) −12.0849 + 4.39855i −0.549314 + 0.199934i
\(485\) −22.3774 + 12.9196i −1.01610 + 0.586648i
\(486\) −7.39407 + 11.7604i −0.335402 + 0.533463i
\(487\) 16.0866 27.8628i 0.728954 1.26259i −0.228371 0.973574i \(-0.573340\pi\)
0.957325 0.289012i \(-0.0933267\pi\)
\(488\) 29.5971 + 24.8349i 1.33980 + 1.12422i
\(489\) −0.940540 1.53072i −0.0425327 0.0692218i
\(490\) 8.29524 2.44851i 0.374741 0.110612i
\(491\) 24.2362 4.27350i 1.09377 0.192860i 0.402470 0.915433i \(-0.368152\pi\)
0.691295 + 0.722573i \(0.257041\pi\)
\(492\) 0.447793 3.02087i 0.0201881 0.136191i
\(493\) −0.519216 1.42653i −0.0233843 0.0642479i
\(494\) 14.3699 8.29645i 0.646531 0.373275i
\(495\) −0.131705 2.40347i −0.00591970 0.108028i
\(496\) 0.202346 0.116824i 0.00908558 0.00524556i
\(497\) −4.90887 + 41.3051i −0.220193 + 1.85279i
\(498\) 5.85670 17.5734i 0.262445 0.787483i
\(499\) −4.54776 25.7916i −0.203586 1.15459i −0.899650 0.436613i \(-0.856178\pi\)
0.696064 0.717980i \(-0.254933\pi\)
\(500\) 10.3454 8.68085i 0.462662 0.388219i
\(501\) 4.87902 + 23.8358i 0.217979 + 1.06490i
\(502\) 0.286257 + 0.786484i 0.0127763 + 0.0351025i
\(503\) 3.69643 + 6.40240i 0.164815 + 0.285469i 0.936590 0.350428i \(-0.113964\pi\)
−0.771774 + 0.635897i \(0.780630\pi\)
\(504\) −20.3183 + 10.0680i −0.905049 + 0.448465i
\(505\) −8.44256 + 14.6229i −0.375689 + 0.650713i
\(506\) 3.39813 + 0.599182i 0.151065 + 0.0266369i
\(507\) 22.4855 + 17.8421i 0.998617 + 0.792395i
\(508\) −2.23803 0.814575i −0.0992963 0.0361409i
\(509\) −15.1126 5.50053i −0.669853 0.243807i −0.0153687 0.999882i \(-0.504892\pi\)
−0.654485 + 0.756075i \(0.727114\pi\)
\(510\) −0.135433 4.94671i −0.00599707 0.219044i
\(511\) −0.746786 + 6.28374i −0.0330359 + 0.277976i
\(512\) 1.51799i 0.0670865i
\(513\) 1.45929 + 17.7314i 0.0644292 + 0.782860i
\(514\) −15.1231 8.73131i −0.667050 0.385122i
\(515\) −17.5476 3.09411i −0.773238 0.136343i
\(516\) 8.19528 0.224374i 0.360777 0.00987750i
\(517\) 2.29267 + 2.73229i 0.100831 + 0.120166i
\(518\) 2.44945 + 0.738483i 0.107623 + 0.0324471i
\(519\) 9.43231 3.72848i 0.414032 0.163662i
\(520\) 3.74048 21.2133i 0.164031 0.930266i
\(521\) 8.46473 + 14.6613i 0.370847 + 0.642325i 0.989696 0.143184i \(-0.0457342\pi\)
−0.618849 + 0.785510i \(0.712401\pi\)
\(522\) −1.67971 0.509164i −0.0735188 0.0222855i
\(523\) −8.72367 5.03662i −0.381460 0.220236i 0.296994 0.954879i \(-0.404016\pi\)
−0.678453 + 0.734644i \(0.737349\pi\)
\(524\) 0.467160 2.64940i 0.0204080 0.115739i
\(525\) 9.93618 + 10.0090i 0.433650 + 0.436829i
\(526\) 9.98737 + 3.63511i 0.435470 + 0.158498i
\(527\) 3.96348 0.698869i 0.172652 0.0304432i
\(528\) 0.0425425 0.127651i 0.00185142 0.00555531i
\(529\) −16.6757 13.9925i −0.725029 0.608372i
\(530\) −5.82386 + 10.0872i −0.252972 + 0.438161i
\(531\) 14.5452 + 4.40903i 0.631207 + 0.191336i
\(532\) −4.92139 + 9.75223i −0.213370 + 0.422813i
\(533\) −5.11105 + 6.09112i −0.221384 + 0.263836i
\(534\) 11.3520 14.3064i 0.491249 0.619097i
\(535\) 4.91516 13.5043i 0.212501 0.583841i
\(536\) −23.1769 + 4.08672i −1.00109 + 0.176519i
\(537\) 0.402824 + 14.7132i 0.0173831 + 0.634922i
\(538\) 5.00978 + 13.7643i 0.215987 + 0.593420i
\(539\) 3.71334 + 1.61884i 0.159945 + 0.0697285i
\(540\) 7.09058 + 5.01951i 0.305130 + 0.216006i
\(541\) 9.39785 + 16.2776i 0.404045 + 0.699827i 0.994210 0.107456i \(-0.0342705\pi\)
−0.590165 + 0.807283i \(0.700937\pi\)
\(542\) −2.28667 + 12.9683i −0.0982207 + 0.557037i
\(543\) −8.80674 4.76809i −0.377934 0.204618i
\(544\) −4.42420 + 12.1554i −0.189686 + 0.521158i
\(545\) 4.05710 + 23.0090i 0.173787 + 0.985595i
\(546\) 22.1161 + 2.01630i 0.946481 + 0.0862898i
\(547\) −9.76636 8.19495i −0.417579 0.350391i 0.409662 0.912237i \(-0.365647\pi\)
−0.827241 + 0.561847i \(0.810091\pi\)
\(548\) 1.60801i 0.0686906i
\(549\) 40.2808 + 4.84844i 1.71914 + 0.206926i
\(550\) −1.58715 −0.0676764
\(551\) −2.11233 + 0.768824i −0.0899881 + 0.0327530i
\(552\) −24.7708 + 21.9680i −1.05431 + 0.935021i
\(553\) 6.90523 1.62247i 0.293640 0.0689945i
\(554\) −8.44831 + 23.2115i −0.358934 + 0.986164i
\(555\) −0.522552 2.55285i −0.0221811 0.108363i
\(556\) 11.8145 14.0799i 0.501045 0.597122i
\(557\) 27.3089i 1.15711i −0.815642 0.578557i \(-0.803616\pi\)
0.815642 0.578557i \(-0.196384\pi\)
\(558\) 2.10262 4.15105i 0.0890110 0.175728i
\(559\) −18.4862 10.6730i −0.781884 0.451421i
\(560\) −0.194170 0.452542i −0.00820520 0.0191234i
\(561\) 1.44064 1.81557i 0.0608240 0.0766536i
\(562\) 4.25046 3.56656i 0.179295 0.150446i
\(563\) 4.09167 + 23.2050i 0.172443 + 0.977974i 0.941054 + 0.338257i \(0.109837\pi\)
−0.768611 + 0.639717i \(0.779052\pi\)
\(564\) −12.8681 + 0.352307i −0.541843 + 0.0148348i
\(565\) 18.1124 21.5855i 0.761996 0.908111i
\(566\) 4.89515 0.205759
\(567\) −12.0870 + 20.5160i −0.507604 + 0.861590i
\(568\) 44.9154 1.88461
\(569\) 8.50590 10.1369i 0.356586 0.424963i −0.557693 0.830047i \(-0.688313\pi\)
0.914279 + 0.405084i \(0.132758\pi\)
\(570\) −7.32479 + 0.200541i −0.306802 + 0.00839974i
\(571\) 1.15073 + 6.52612i 0.0481566 + 0.273110i 0.999373 0.0354159i \(-0.0112756\pi\)
−0.951216 + 0.308525i \(0.900164\pi\)
\(572\) 2.90696 2.43923i 0.121546 0.101989i
\(573\) −25.6070 + 32.2712i −1.06975 + 1.34815i
\(574\) −0.406849 + 3.42338i −0.0169815 + 0.142889i
\(575\) 17.8334 + 10.2961i 0.743703 + 0.429377i
\(576\) 8.61566 + 13.1980i 0.358986 + 0.549916i
\(577\) 1.50126i 0.0624981i −0.999512 0.0312490i \(-0.990052\pi\)
0.999512 0.0312490i \(-0.00994850\pi\)
\(578\) −6.67520 + 7.95519i −0.277652 + 0.330892i
\(579\) 6.57221 + 32.1076i 0.273132 + 1.33435i
\(580\) −0.375415 + 1.03144i −0.0155882 + 0.0428283i
\(581\) 9.16521 30.3998i 0.380237 1.26120i
\(582\) −21.5214 + 19.0863i −0.892091 + 0.791152i
\(583\) −5.12632 + 1.86583i −0.212311 + 0.0772747i
\(584\) 6.83297 0.282750
\(585\) −8.88775 20.8003i −0.367463 0.859985i
\(586\) 20.7443i 0.856940i
\(587\) −2.83790 2.38128i −0.117133 0.0982861i 0.582340 0.812945i \(-0.302137\pi\)
−0.699473 + 0.714659i \(0.746582\pi\)
\(588\) −12.9072 + 6.86673i −0.532284 + 0.283179i
\(589\) −1.03484 5.86889i −0.0426400 0.241823i
\(590\) −2.14096 + 5.88225i −0.0881420 + 0.242168i
\(591\) 16.2198 + 8.78163i 0.667194 + 0.361228i
\(592\) 0.0252938 0.143449i 0.00103957 0.00589570i
\(593\) −13.5970 23.5507i −0.558362 0.967112i −0.997633 0.0687572i \(-0.978097\pi\)
0.439271 0.898355i \(-0.355237\pi\)
\(594\) −0.680210 2.59192i −0.0279094 0.106348i
\(595\) −0.476825 8.46892i −0.0195479 0.347192i
\(596\) −8.22153 22.5885i −0.336767 0.925260i
\(597\) −0.475322 17.3612i −0.0194536 0.710547i
\(598\) 31.9326 5.63057i 1.30582 0.230251i
\(599\) 0.718887 1.97512i 0.0293729 0.0807014i −0.924139 0.382055i \(-0.875216\pi\)
0.953512 + 0.301354i \(0.0974386\pi\)
\(600\) 9.46608 11.9296i 0.386451 0.487026i
\(601\) −6.40627 + 7.63469i −0.261317 + 0.311426i −0.880710 0.473655i \(-0.842934\pi\)
0.619393 + 0.785081i \(0.287379\pi\)
\(602\) −9.24034 + 0.520259i −0.376608 + 0.0212042i
\(603\) −18.0340 + 16.8975i −0.734399 + 0.688118i
\(604\) 1.74184 3.01695i 0.0708744 0.122758i
\(605\) −11.3276 9.50499i −0.460532 0.386433i
\(606\) −5.94327 + 17.8331i −0.241429 + 0.724422i
\(607\) −22.3484 + 3.94062i −0.907092 + 0.159945i −0.607683 0.794180i \(-0.707901\pi\)
−0.299409 + 0.954125i \(0.596790\pi\)
\(608\) 17.9990 + 6.55109i 0.729955 + 0.265682i
\(609\) −2.90318 0.789278i −0.117643 0.0319831i
\(610\) −2.90162 + 16.4559i −0.117483 + 0.666281i
\(611\) 29.0267 + 16.7586i 1.17429 + 0.677979i
\(612\) 1.90111 + 8.14600i 0.0768480 + 0.329283i
\(613\) 14.3002 + 24.7687i 0.577581 + 1.00040i 0.995756 + 0.0920328i \(0.0293365\pi\)
−0.418175 + 0.908366i \(0.637330\pi\)
\(614\) 2.69835 15.3031i 0.108897 0.617584i
\(615\) 3.26552 1.29082i 0.131678 0.0520509i
\(616\) 1.26262 4.18796i 0.0508726 0.168738i
\(617\) 0.142287 + 0.169571i 0.00572826 + 0.00682668i 0.768901 0.639368i \(-0.220804\pi\)
−0.763173 + 0.646195i \(0.776359\pi\)
\(618\) −19.8288 + 0.542882i −0.797633 + 0.0218379i
\(619\) −23.5424 4.15115i −0.946247 0.166849i −0.320828 0.947138i \(-0.603961\pi\)
−0.625420 + 0.780289i \(0.715072\pi\)
\(620\) −2.52011 1.45498i −0.101210 0.0584336i
\(621\) −9.17127 + 33.5356i −0.368031 + 1.34574i
\(622\) 1.34523i 0.0539387i
\(623\) 18.7424 25.0740i 0.750899 1.00457i
\(624\) −0.0346047 1.26394i −0.00138530 0.0505981i
\(625\) 0.131608 + 0.0479015i 0.00526433 + 0.00191606i
\(626\) −24.3840 8.87506i −0.974582 0.354719i
\(627\) −2.68839 2.13322i −0.107364 0.0851926i
\(628\) −9.64640 1.70092i −0.384933 0.0678741i
\(629\) 1.25452 2.17289i 0.0500209 0.0866388i
\(630\) −8.16467 5.43301i −0.325288 0.216456i
\(631\) 8.84858 + 15.3262i 0.352256 + 0.610126i 0.986644 0.162889i \(-0.0520812\pi\)
−0.634388 + 0.773015i \(0.718748\pi\)
\(632\) −2.61966 7.19745i −0.104204 0.286299i
\(633\) 2.08061 + 10.1645i 0.0826967 + 0.404002i
\(634\) 20.7542 17.4149i 0.824255 0.691632i
\(635\) −0.475528 2.69685i −0.0188707 0.107021i
\(636\) 6.22514 18.6789i 0.246843 0.740668i
\(637\) 37.9931 + 2.36034i 1.50534 + 0.0935202i
\(638\) 0.293212 0.169286i 0.0116084 0.00670210i
\(639\) 39.4947 25.7822i 1.56239 1.01993i
\(640\) 7.81256 4.51058i 0.308819 0.178296i
\(641\) −6.54891 17.9930i −0.258666 0.710680i −0.999250 0.0387161i \(-0.987673\pi\)
0.740584 0.671964i \(-0.234549\pi\)
\(642\) 2.34588 15.8256i 0.0925844 0.624587i
\(643\) −29.5375 + 5.20825i −1.16484 + 0.205393i −0.722447 0.691426i \(-0.756983\pi\)
−0.442396 + 0.896820i \(0.645872\pi\)
\(644\) −15.5552 + 14.6188i −0.612961 + 0.576063i
\(645\) 4.93494 + 8.03159i 0.194313 + 0.316244i
\(646\) −5.40481 4.53517i −0.212649 0.178434i
\(647\) 0.0112934 0.0195607i 0.000443989 0.000769011i −0.865803 0.500384i \(-0.833192\pi\)
0.866247 + 0.499615i \(0.166525\pi\)
\(648\) 23.5387 + 10.3460i 0.924689 + 0.406428i
\(649\) −2.53903 + 1.46591i −0.0996655 + 0.0575419i
\(650\) −14.0152 + 5.10110i −0.549720 + 0.200082i
\(651\) 3.39719 7.21639i 0.133146 0.282833i
\(652\) −0.958152 + 0.803985i −0.0375241 + 0.0314865i
\(653\) −19.3776 23.0933i −0.758304 0.903712i 0.239435 0.970912i \(-0.423038\pi\)
−0.997739 + 0.0672006i \(0.978593\pi\)
\(654\) 9.56151 + 24.1887i 0.373885 + 0.945855i
\(655\) 2.90675 1.05797i 0.113576 0.0413383i
\(656\) 0.196284 0.00766360
\(657\) 6.00833 3.92224i 0.234407 0.153021i
\(658\) 14.5090 0.816899i 0.565619 0.0318460i
\(659\) 17.6905 + 3.11932i 0.689126 + 0.121511i 0.507236 0.861807i \(-0.330667\pi\)
0.181890 + 0.983319i \(0.441778\pi\)
\(660\) −1.64176 + 0.336057i −0.0639052 + 0.0130810i
\(661\) −22.0195 26.2418i −0.856459 1.02069i −0.999520 0.0309742i \(-0.990139\pi\)
0.143061 0.989714i \(-0.454305\pi\)
\(662\) 16.2122 + 19.3209i 0.630105 + 0.750929i
\(663\) 6.88618 20.6624i 0.267437 0.802462i
\(664\) −33.7645 5.95359i −1.31032 0.231044i
\(665\) −12.5403 + 0.706054i −0.486291 + 0.0273796i
\(666\) −1.13983 2.66758i −0.0441676 0.103367i
\(667\) −4.39274 −0.170087
\(668\) 15.9169 5.79328i 0.615844 0.224149i
\(669\) −6.16610 + 7.77084i −0.238395 + 0.300438i
\(670\) −6.54256 7.79712i −0.252761 0.301229i
\(671\) −5.99520 + 5.03057i −0.231442 + 0.194203i
\(672\) 14.6273 + 21.0531i 0.564259 + 0.812141i
\(673\) −16.8698 + 6.14009i −0.650282 + 0.236683i −0.646035 0.763308i \(-0.723574\pi\)
−0.00424668 + 0.999991i \(0.501352\pi\)
\(674\) 6.27118 3.62067i 0.241557 0.139463i
\(675\) 1.47583 15.9236i 0.0568049 0.612899i
\(676\) 9.99192 17.3065i 0.384304 0.665635i
\(677\) 2.57495 + 2.16064i 0.0989635 + 0.0830403i 0.690927 0.722925i \(-0.257203\pi\)
−0.591963 + 0.805965i \(0.701647\pi\)
\(678\) 14.9352 27.5856i 0.573584 1.05942i
\(679\) −35.9300 + 33.7671i −1.37887 + 1.29586i
\(680\) −9.02013 + 1.59049i −0.345906 + 0.0609926i
\(681\) −23.9905 19.0363i −0.919319 0.729473i
\(682\) 0.306995 + 0.843463i 0.0117555 + 0.0322979i
\(683\) 35.1068 20.2689i 1.34333 0.775570i 0.356032 0.934474i \(-0.384129\pi\)
0.987294 + 0.158904i \(0.0507960\pi\)
\(684\) 12.0621 2.81506i 0.461207 0.107636i
\(685\) −1.60120 + 0.924452i −0.0611786 + 0.0353215i
\(686\) 14.3409 8.16912i 0.547536 0.311898i
\(687\) −23.2871 + 4.76672i −0.888458 + 0.181862i
\(688\) 0.0915018 + 0.518932i 0.00348847 + 0.0197841i
\(689\) −39.2706 + 32.9519i −1.49609 + 1.25537i
\(690\) −13.5846 4.52736i −0.517157 0.172353i
\(691\) 14.3836 + 39.5186i 0.547178 + 1.50336i 0.837504 + 0.546431i \(0.184014\pi\)
−0.290327 + 0.956928i \(0.593764\pi\)
\(692\) −3.53058 6.11514i −0.134212 0.232463i
\(693\) −1.29372 4.40730i −0.0491443 0.167419i
\(694\) 6.13459 10.6254i 0.232866 0.403335i
\(695\) 20.8125 + 3.66981i 0.789463 + 0.139204i
\(696\) −0.476354 + 3.21355i −0.0180561 + 0.121809i
\(697\) 3.17711 + 1.15638i 0.120342 + 0.0438008i
\(698\) 1.12660 + 0.410049i 0.0426424 + 0.0155206i
\(699\) −13.9307 7.54229i −0.526908 0.285275i
\(700\) 5.87859 7.86451i 0.222190 0.297251i
\(701\) 33.4343i 1.26280i 0.775459 + 0.631398i \(0.217519\pi\)
−0.775459 + 0.631398i \(0.782481\pi\)
\(702\) −14.3369 20.7014i −0.541113 0.781325i
\(703\) −3.21749 1.85762i −0.121350 0.0700613i
\(704\) −2.99413 0.527946i −0.112845 0.0198977i
\(705\) −7.74873 12.6110i −0.291834 0.474959i
\(706\) −9.02357 10.7539i −0.339607 0.404727i
\(707\) −9.30068 + 30.8491i −0.349788 + 1.16020i
\(708\) 1.55154 10.4669i 0.0583106 0.393371i
\(709\) 6.70491 38.0254i 0.251808 1.42807i −0.552327 0.833628i \(-0.686260\pi\)
0.804135 0.594447i \(-0.202629\pi\)
\(710\) 9.71272 + 16.8229i 0.364512 + 0.631353i
\(711\) −6.43496 4.82509i −0.241330 0.180955i
\(712\) −29.2743 16.9015i −1.09710 0.633411i
\(713\) 2.02225 11.4687i 0.0757338 0.429508i
\(714\) −2.41070 9.13009i −0.0902184 0.341685i
\(715\) 4.10014 + 1.49233i 0.153336 + 0.0558099i
\(716\) 10.0914 1.77939i 0.377135 0.0664990i
\(717\) −2.90150 3.27169i −0.108359 0.122183i
\(718\) 20.4616 + 17.1693i 0.763619 + 0.640752i
\(719\) −10.3735 + 17.9674i −0.386866 + 0.670072i −0.992026 0.126032i \(-0.959776\pi\)
0.605160 + 0.796104i \(0.293109\pi\)
\(720\) −0.252310 + 0.498118i −0.00940304 + 0.0185637i
\(721\) −33.9476 + 1.91135i −1.26427 + 0.0711823i
\(722\) 4.16820 4.96747i 0.155124 0.184870i
\(723\) −12.3239 1.82680i −0.458330 0.0679396i
\(724\) −2.38462 + 6.55169i −0.0886237 + 0.243492i
\(725\) 1.98983 0.350861i 0.0739005 0.0130307i
\(726\) −14.4763 7.83766i −0.537266 0.290883i
\(727\) 6.23885 + 17.1411i 0.231386 + 0.635729i 0.999992 0.00399420i \(-0.00127140\pi\)
−0.768606 + 0.639723i \(0.779049\pi\)
\(728\) −2.31064 41.0393i −0.0856379 1.52102i
\(729\) 26.6367 4.41429i 0.986545 0.163492i
\(730\) 1.47760 + 2.55927i 0.0546883 + 0.0947228i
\(731\) −1.57613 + 8.93868i −0.0582953 + 0.330609i
\(732\) −0.773033 28.2351i −0.0285721 1.04360i
\(733\) 9.34633 25.6788i 0.345214 0.948469i −0.638641 0.769505i \(-0.720503\pi\)
0.983856 0.178964i \(-0.0572746\pi\)
\(734\) 0.739395 + 4.19331i 0.0272916 + 0.154778i
\(735\) −14.2581 8.90483i −0.525917 0.328459i
\(736\) 28.6732 + 24.0597i 1.05691 + 0.886851i
\(737\) 4.76716i 0.175601i
\(738\) 3.27333 2.13684i 0.120493 0.0786580i
\(739\) 14.1363 0.520012 0.260006 0.965607i \(-0.416275\pi\)
0.260006 + 0.965607i \(0.416275\pi\)
\(740\) −1.70473 + 0.620471i −0.0626671 + 0.0228090i
\(741\) −30.5957 10.1967i −1.12396 0.374583i
\(742\) −6.41580 + 21.2804i −0.235532 + 0.781228i
\(743\) 3.05230 8.38613i 0.111978 0.307657i −0.871027 0.491235i \(-0.836546\pi\)
0.983005 + 0.183578i \(0.0587679\pi\)
\(744\) −8.17076 2.72308i −0.299555 0.0998329i
\(745\) 17.7662 21.1730i 0.650904 0.775717i
\(746\) 12.3250i 0.451250i
\(747\) −33.1070 + 14.1463i −1.21132 + 0.517586i
\(748\) −1.39740 0.806789i −0.0510940 0.0294991i
\(749\) 3.23630 27.2314i 0.118252 0.995015i
\(750\) 17.1000 + 2.53478i 0.624403 + 0.0925571i
\(751\) −2.72115 + 2.28332i −0.0992962 + 0.0833194i −0.691084 0.722774i \(-0.742867\pi\)
0.591788 + 0.806094i \(0.298422\pi\)
\(752\) −0.143674 0.814816i −0.00523926 0.0297133i
\(753\) 0.774499 1.43051i 0.0282243 0.0521308i
\(754\) 2.04509 2.43724i 0.0744777 0.0887591i
\(755\) 4.00557 0.145778
\(756\) 15.3626 + 6.22958i 0.558734 + 0.226568i
\(757\) −21.6011 −0.785104 −0.392552 0.919730i \(-0.628408\pi\)
−0.392552 + 0.919730i \(0.628408\pi\)
\(758\) −5.06486 + 6.03606i −0.183964 + 0.219240i
\(759\) −3.51096 5.71407i −0.127440 0.207408i
\(760\) 2.35511 + 13.3565i 0.0854287 + 0.484490i
\(761\) −7.74438 + 6.49831i −0.280734 + 0.235563i −0.772271 0.635293i \(-0.780879\pi\)
0.491538 + 0.870856i \(0.336435\pi\)
\(762\) −1.12069 2.83513i −0.0405984 0.102706i
\(763\) 17.5795 + 40.9715i 0.636420 + 1.48327i
\(764\) 24.8383 + 14.3404i 0.898618 + 0.518818i
\(765\) −7.01855 + 6.57625i −0.253756 + 0.237765i
\(766\) 26.8118i 0.968750i
\(767\) −17.7091 + 21.1049i −0.639440 + 0.762055i
\(768\) 21.1300 18.7391i 0.762462 0.676190i
\(769\) −12.2720 + 33.7171i −0.442540 + 1.21587i 0.495276 + 0.868736i \(0.335067\pi\)
−0.937816 + 0.347133i \(0.887155\pi\)
\(770\) 1.84162 0.432713i 0.0663675 0.0155939i
\(771\) 6.80627 + 33.2510i 0.245122 + 1.19751i
\(772\) 21.4406 7.80375i 0.771665 0.280863i
\(773\) −35.8360 −1.28893