Properties

Label 224.2.bd.a.37.10
Level $224$
Weight $2$
Character 224.37
Analytic conductor $1.789$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 224.bd (of order \(24\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.78864900528\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{24})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label 37.10
Character \(\chi\) \(=\) 224.37
Dual form 224.2.bd.a.109.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.631870 - 1.26520i) q^{2} +(0.678058 - 0.883663i) q^{3} +(-1.20148 + 1.59889i) q^{4} +(-2.77837 + 2.13192i) q^{5} +(-1.54646 - 0.299522i) q^{6} +(-2.64040 - 0.168196i) q^{7} +(2.78210 + 0.509831i) q^{8} +(0.455360 + 1.69943i) q^{9} +O(q^{10})\) \(q+(-0.631870 - 1.26520i) q^{2} +(0.678058 - 0.883663i) q^{3} +(-1.20148 + 1.59889i) q^{4} +(-2.77837 + 2.13192i) q^{5} +(-1.54646 - 0.299522i) q^{6} +(-2.64040 - 0.168196i) q^{7} +(2.78210 + 0.509831i) q^{8} +(0.455360 + 1.69943i) q^{9} +(4.45288 + 2.16811i) q^{10} +(-5.46757 + 0.719819i) q^{11} +(0.598203 + 2.14584i) q^{12} +(-1.04756 + 0.433913i) q^{13} +(1.45559 + 3.44692i) q^{14} +3.90071i q^{15} +(-1.11288 - 3.84207i) q^{16} +(-0.0754320 + 0.0435507i) q^{17} +(1.86239 - 1.64994i) q^{18} +(0.824231 - 6.26066i) q^{19} +(-0.0705373 - 7.00376i) q^{20} +(-1.93897 + 2.21918i) q^{21} +(4.36551 + 6.46275i) q^{22} +(1.08108 + 4.03463i) q^{23} +(2.33694 - 2.11274i) q^{24} +(1.88017 - 7.01688i) q^{25} +(1.21091 + 1.05120i) q^{26} +(4.89762 + 2.02866i) q^{27} +(3.44132 - 4.01962i) q^{28} +(0.818706 + 1.97653i) q^{29} +(4.93519 - 2.46474i) q^{30} +(-1.68339 - 2.91571i) q^{31} +(-4.15780 + 3.83571i) q^{32} +(-3.07125 + 5.31956i) q^{33} +(0.102764 + 0.0679185i) q^{34} +(7.69459 - 5.16180i) q^{35} +(-3.26430 - 1.31376i) q^{36} +(-6.85226 + 5.25793i) q^{37} +(-8.44182 + 2.91310i) q^{38} +(-0.326873 + 1.21991i) q^{39} +(-8.81662 + 4.51471i) q^{40} +(-2.23081 + 2.23081i) q^{41} +(4.03289 + 1.05097i) q^{42} +(0.669295 - 1.61582i) q^{43} +(5.41827 - 9.60687i) q^{44} +(-4.88820 - 3.75085i) q^{45} +(4.42153 - 3.91714i) q^{46} +(3.87662 + 2.23817i) q^{47} +(-4.14969 - 1.62173i) q^{48} +(6.94342 + 0.888210i) q^{49} +(-10.0658 + 2.05496i) q^{50} +(-0.0126632 + 0.0961864i) q^{51} +(0.564844 - 2.19627i) q^{52} +(-10.8911 + 1.43384i) q^{53} +(-0.527988 - 7.47834i) q^{54} +(13.6563 - 13.6563i) q^{55} +(-7.26010 - 1.81410i) q^{56} +(-4.97343 - 4.97343i) q^{57} +(1.98340 - 2.28474i) q^{58} +(-0.455116 - 3.45695i) q^{59} +(-6.23679 - 4.68663i) q^{60} +(-1.17243 - 0.154354i) q^{61} +(-2.62529 + 3.97218i) q^{62} +(-0.916496 - 4.56376i) q^{63} +(7.48015 + 2.83680i) q^{64} +(1.98544 - 3.43888i) q^{65} +(8.67096 + 0.524489i) q^{66} +(-3.42521 + 4.46382i) q^{67} +(0.0209975 - 0.172933i) q^{68} +(4.29828 + 1.78041i) q^{69} +(-11.3927 - 6.47363i) q^{70} +(2.00400 + 2.00400i) q^{71} +(0.400437 + 4.96013i) q^{72} +(6.66334 + 1.78544i) q^{73} +(10.9821 + 5.34719i) q^{74} +(-4.92569 - 6.41929i) q^{75} +(9.01979 + 8.83992i) q^{76} +(14.5576 - 0.980985i) q^{77} +(1.74997 - 0.357261i) q^{78} +(-4.42306 - 2.55365i) q^{79} +(11.2830 + 8.30211i) q^{80} +(0.542531 - 0.313230i) q^{81} +(4.23201 + 1.41285i) q^{82} +(-11.9232 + 4.93874i) q^{83} +(-1.21857 - 5.76650i) q^{84} +(0.116732 - 0.281815i) q^{85} +(-2.46725 + 0.174193i) q^{86} +(2.30172 + 0.616744i) q^{87} +(-15.5783 - 0.784926i) q^{88} +(-16.4982 + 4.42067i) q^{89} +(-1.65688 + 8.55462i) q^{90} +(2.83895 - 0.969508i) q^{91} +(-7.74981 - 3.11901i) q^{92} +(-3.71794 - 0.489476i) q^{93} +(0.382221 - 6.31895i) q^{94} +(11.0572 + 19.1516i) q^{95} +(0.570243 + 6.27493i) q^{96} +10.0666 q^{97} +(-3.26357 - 9.34607i) q^{98} +(-3.71299 - 8.96396i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} + O(q^{10}) \) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} - 4 q^{10} - 4 q^{11} - 4 q^{12} - 16 q^{13} + 24 q^{14} - 24 q^{16} - 24 q^{18} - 4 q^{19} - 48 q^{20} - 8 q^{21} - 24 q^{22} - 12 q^{23} + 36 q^{24} - 4 q^{25} - 4 q^{26} - 16 q^{27} + 12 q^{28} - 16 q^{29} + 44 q^{30} - 56 q^{31} - 4 q^{32} - 8 q^{33} - 32 q^{34} - 32 q^{35} - 96 q^{36} - 4 q^{37} + 36 q^{38} - 4 q^{39} - 68 q^{40} - 16 q^{41} - 28 q^{42} + 44 q^{44} + 8 q^{45} - 4 q^{46} - 16 q^{48} + 8 q^{50} - 28 q^{51} - 28 q^{52} - 20 q^{53} - 92 q^{54} - 16 q^{55} - 48 q^{56} - 16 q^{57} + 28 q^{58} - 36 q^{59} + 60 q^{60} - 4 q^{61} - 16 q^{63} + 56 q^{64} - 8 q^{65} - 36 q^{66} + 36 q^{67} - 36 q^{68} - 16 q^{69} - 44 q^{70} + 48 q^{71} - 4 q^{72} - 4 q^{73} + 68 q^{74} + 16 q^{75} - 16 q^{76} - 8 q^{77} - 120 q^{78} - 16 q^{80} - 44 q^{82} - 96 q^{83} - 28 q^{84} - 56 q^{85} - 4 q^{86} - 4 q^{87} + 40 q^{88} - 4 q^{89} + 224 q^{90} - 56 q^{91} - 80 q^{92} + 20 q^{93} + 4 q^{94} - 8 q^{95} - 32 q^{96} - 32 q^{97} + 96 q^{98} + 8 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.631870 1.26520i −0.446799 0.894634i
\(3\) 0.678058 0.883663i 0.391477 0.510183i −0.555486 0.831526i \(-0.687468\pi\)
0.946963 + 0.321343i \(0.104134\pi\)
\(4\) −1.20148 + 1.59889i −0.600741 + 0.799444i
\(5\) −2.77837 + 2.13192i −1.24252 + 0.953423i −0.999861 0.0166878i \(-0.994688\pi\)
−0.242664 + 0.970110i \(0.578021\pi\)
\(6\) −1.54646 0.299522i −0.631339 0.122279i
\(7\) −2.64040 0.168196i −0.997977 0.0635722i
\(8\) 2.78210 + 0.509831i 0.983620 + 0.180252i
\(9\) 0.455360 + 1.69943i 0.151787 + 0.566476i
\(10\) 4.45288 + 2.16811i 1.40812 + 0.685616i
\(11\) −5.46757 + 0.719819i −1.64853 + 0.217033i −0.896801 0.442435i \(-0.854115\pi\)
−0.751732 + 0.659468i \(0.770781\pi\)
\(12\) 0.598203 + 2.14584i 0.172686 + 0.619452i
\(13\) −1.04756 + 0.433913i −0.290540 + 0.120346i −0.523193 0.852214i \(-0.675259\pi\)
0.232653 + 0.972560i \(0.425259\pi\)
\(14\) 1.45559 + 3.44692i 0.389022 + 0.921229i
\(15\) 3.90071i 1.00716i
\(16\) −1.11288 3.84207i −0.278221 0.960517i
\(17\) −0.0754320 + 0.0435507i −0.0182950 + 0.0105626i −0.509120 0.860696i \(-0.670029\pi\)
0.490825 + 0.871258i \(0.336696\pi\)
\(18\) 1.86239 1.64994i 0.438971 0.388895i
\(19\) 0.824231 6.26066i 0.189092 1.43629i −0.588995 0.808137i \(-0.700476\pi\)
0.778087 0.628157i \(-0.216190\pi\)
\(20\) −0.0705373 7.00376i −0.0157726 1.56609i
\(21\) −1.93897 + 2.21918i −0.423119 + 0.484264i
\(22\) 4.36551 + 6.46275i 0.930729 + 1.37786i
\(23\) 1.08108 + 4.03463i 0.225420 + 0.841278i 0.982236 + 0.187650i \(0.0600872\pi\)
−0.756816 + 0.653628i \(0.773246\pi\)
\(24\) 2.33694 2.11274i 0.477027 0.431262i
\(25\) 1.88017 7.01688i 0.376034 1.40338i
\(26\) 1.21091 + 1.05120i 0.237479 + 0.206157i
\(27\) 4.89762 + 2.02866i 0.942548 + 0.390416i
\(28\) 3.44132 4.01962i 0.650348 0.759636i
\(29\) 0.818706 + 1.97653i 0.152030 + 0.367033i 0.981485 0.191541i \(-0.0613486\pi\)
−0.829455 + 0.558574i \(0.811349\pi\)
\(30\) 4.93519 2.46474i 0.901038 0.449997i
\(31\) −1.68339 2.91571i −0.302345 0.523677i 0.674321 0.738438i \(-0.264436\pi\)
−0.976667 + 0.214761i \(0.931103\pi\)
\(32\) −4.15780 + 3.83571i −0.735003 + 0.678064i
\(33\) −3.07125 + 5.31956i −0.534636 + 0.926017i
\(34\) 0.102764 + 0.0679185i 0.0176238 + 0.0116479i
\(35\) 7.69459 5.16180i 1.30062 0.872504i
\(36\) −3.26430 1.31376i −0.544050 0.218960i
\(37\) −6.85226 + 5.25793i −1.12651 + 0.864398i −0.991965 0.126510i \(-0.959622\pi\)
−0.134540 + 0.990908i \(0.542956\pi\)
\(38\) −8.44182 + 2.91310i −1.36944 + 0.472567i
\(39\) −0.326873 + 1.21991i −0.0523415 + 0.195341i
\(40\) −8.81662 + 4.51471i −1.39403 + 0.713838i
\(41\) −2.23081 + 2.23081i −0.348394 + 0.348394i −0.859511 0.511117i \(-0.829232\pi\)
0.511117 + 0.859511i \(0.329232\pi\)
\(42\) 4.03289 + 1.05097i 0.622288 + 0.162168i
\(43\) 0.669295 1.61582i 0.102066 0.246410i −0.864594 0.502470i \(-0.832425\pi\)
0.966661 + 0.256060i \(0.0824245\pi\)
\(44\) 5.41827 9.60687i 0.816835 1.44829i
\(45\) −4.88820 3.75085i −0.728690 0.559143i
\(46\) 4.42153 3.91714i 0.651919 0.577551i
\(47\) 3.87662 + 2.23817i 0.565464 + 0.326471i 0.755336 0.655338i \(-0.227474\pi\)
−0.189872 + 0.981809i \(0.560807\pi\)
\(48\) −4.14969 1.62173i −0.598957 0.234077i
\(49\) 6.94342 + 0.888210i 0.991917 + 0.126887i
\(50\) −10.0658 + 2.05496i −1.42352 + 0.290615i
\(51\) −0.0126632 + 0.0961864i −0.00177320 + 0.0134688i
\(52\) 0.564844 2.19627i 0.0783297 0.304567i
\(53\) −10.8911 + 1.43384i −1.49601 + 0.196953i −0.833674 0.552258i \(-0.813767\pi\)
−0.662332 + 0.749210i \(0.730433\pi\)
\(54\) −0.527988 7.47834i −0.0718501 1.01767i
\(55\) 13.6563 13.6563i 1.84142 1.84142i
\(56\) −7.26010 1.81410i −0.970172 0.242419i
\(57\) −4.97343 4.97343i −0.658747 0.658747i
\(58\) 1.98340 2.28474i 0.260433 0.300001i
\(59\) −0.455116 3.45695i −0.0592511 0.450057i −0.995195 0.0979087i \(-0.968785\pi\)
0.935944 0.352148i \(-0.114549\pi\)
\(60\) −6.23679 4.68663i −0.805166 0.605041i
\(61\) −1.17243 0.154354i −0.150115 0.0197630i 0.0550943 0.998481i \(-0.482454\pi\)
−0.205209 + 0.978718i \(0.565787\pi\)
\(62\) −2.62529 + 3.97218i −0.333412 + 0.504467i
\(63\) −0.916496 4.56376i −0.115468 0.574980i
\(64\) 7.48015 + 2.83680i 0.935018 + 0.354600i
\(65\) 1.98544 3.43888i 0.246263 0.426540i
\(66\) 8.67096 + 0.524489i 1.06732 + 0.0645601i
\(67\) −3.42521 + 4.46382i −0.418456 + 0.545343i −0.954251 0.299005i \(-0.903345\pi\)
0.535795 + 0.844348i \(0.320012\pi\)
\(68\) 0.0209975 0.172933i 0.00254632 0.0209712i
\(69\) 4.29828 + 1.78041i 0.517453 + 0.214336i
\(70\) −11.3927 6.47363i −1.36169 0.773747i
\(71\) 2.00400 + 2.00400i 0.237831 + 0.237831i 0.815951 0.578121i \(-0.196214\pi\)
−0.578121 + 0.815951i \(0.696214\pi\)
\(72\) 0.400437 + 4.96013i 0.0471919 + 0.584557i
\(73\) 6.66334 + 1.78544i 0.779885 + 0.208970i 0.626734 0.779233i \(-0.284391\pi\)
0.153151 + 0.988203i \(0.451058\pi\)
\(74\) 10.9821 + 5.34719i 1.27664 + 0.621598i
\(75\) −4.92569 6.41929i −0.568770 0.741236i
\(76\) 9.01979 + 8.83992i 1.03464 + 1.01401i
\(77\) 14.5576 0.980985i 1.65900 0.111794i
\(78\) 1.74997 0.357261i 0.198145 0.0404518i
\(79\) −4.42306 2.55365i −0.497633 0.287308i 0.230103 0.973166i \(-0.426094\pi\)
−0.727735 + 0.685858i \(0.759427\pi\)
\(80\) 11.2830 + 8.30211i 1.26148 + 0.928204i
\(81\) 0.542531 0.313230i 0.0602812 0.0348034i
\(82\) 4.23201 + 1.41285i 0.467348 + 0.156023i
\(83\) −11.9232 + 4.93874i −1.30874 + 0.542097i −0.924516 0.381143i \(-0.875530\pi\)
−0.384223 + 0.923240i \(0.625530\pi\)
\(84\) −1.21857 5.76650i −0.132957 0.629177i
\(85\) 0.116732 0.281815i 0.0126613 0.0305671i
\(86\) −2.46725 + 0.174193i −0.266050 + 0.0187838i
\(87\) 2.30172 + 0.616744i 0.246770 + 0.0661218i
\(88\) −15.5783 0.784926i −1.66065 0.0836734i
\(89\) −16.4982 + 4.42067i −1.74880 + 0.468590i −0.984370 0.176113i \(-0.943648\pi\)
−0.764433 + 0.644703i \(0.776981\pi\)
\(90\) −1.65688 + 8.55462i −0.174651 + 0.901736i
\(91\) 2.83895 0.969508i 0.297603 0.101632i
\(92\) −7.74981 3.11901i −0.807974 0.325180i
\(93\) −3.71794 0.489476i −0.385533 0.0507563i
\(94\) 0.382221 6.31895i 0.0394230 0.651750i
\(95\) 11.0572 + 19.1516i 1.13444 + 1.96491i
\(96\) 0.570243 + 6.27493i 0.0582001 + 0.640432i
\(97\) 10.0666 1.02211 0.511057 0.859547i \(-0.329254\pi\)
0.511057 + 0.859547i \(0.329254\pi\)
\(98\) −3.26357 9.34607i −0.329670 0.944096i
\(99\) −3.71299 8.96396i −0.373170 0.900911i
\(100\) 8.96022 + 11.4368i 0.896022 + 1.14368i
\(101\) −2.30435 17.5032i −0.229291 1.74164i −0.588604 0.808421i \(-0.700322\pi\)
0.359313 0.933217i \(-0.383011\pi\)
\(102\) 0.129697 0.0447558i 0.0128419 0.00443148i
\(103\) 6.25219 1.67527i 0.616046 0.165069i 0.0627165 0.998031i \(-0.480024\pi\)
0.553330 + 0.832962i \(0.313357\pi\)
\(104\) −3.13563 + 0.673111i −0.307474 + 0.0660039i
\(105\) 0.656084 10.2994i 0.0640272 1.00512i
\(106\) 8.69584 + 12.8734i 0.844615 + 1.25038i
\(107\) 10.3517 + 13.4906i 1.00074 + 1.30419i 0.952236 + 0.305365i \(0.0987783\pi\)
0.0485028 + 0.998823i \(0.484555\pi\)
\(108\) −9.12801 + 5.39335i −0.878343 + 0.518975i
\(109\) 13.0868 + 10.0418i 1.25349 + 0.961834i 0.999985 0.00550040i \(-0.00175084\pi\)
0.253502 + 0.967335i \(0.418418\pi\)
\(110\) −25.9070 8.64902i −2.47014 0.824651i
\(111\) 9.62027i 0.913116i
\(112\) 2.29224 + 10.3318i 0.216596 + 0.976261i
\(113\) 10.4946i 0.987249i 0.869675 + 0.493625i \(0.164328\pi\)
−0.869675 + 0.493625i \(0.835672\pi\)
\(114\) −3.14985 + 9.43497i −0.295010 + 0.883666i
\(115\) −11.6051 8.90493i −1.08218 0.830389i
\(116\) −4.14391 1.06575i −0.384753 0.0989522i
\(117\) −1.21442 1.58266i −0.112273 0.146317i
\(118\) −4.08617 + 2.76016i −0.376163 + 0.254093i
\(119\) 0.206496 0.102304i 0.0189294 0.00937818i
\(120\) −1.98870 + 10.8521i −0.181543 + 0.990661i
\(121\) 18.7509 5.02430i 1.70463 0.456755i
\(122\) 0.545536 + 1.58090i 0.0493905 + 0.143128i
\(123\) 0.458665 + 3.48390i 0.0413564 + 0.314133i
\(124\) 6.68446 + 0.811628i 0.600282 + 0.0728863i
\(125\) 3.03472 + 7.32646i 0.271433 + 0.655298i
\(126\) −5.19498 + 4.04325i −0.462806 + 0.360202i
\(127\) −5.75224 −0.510428 −0.255214 0.966885i \(-0.582146\pi\)
−0.255214 + 0.966885i \(0.582146\pi\)
\(128\) −1.13735 11.2564i −0.100528 0.994934i
\(129\) −0.974019 1.68705i −0.0857576 0.148537i
\(130\) −5.60542 0.339060i −0.491628 0.0297375i
\(131\) 4.21223 + 0.554551i 0.368024 + 0.0484513i 0.312271 0.949993i \(-0.398910\pi\)
0.0557538 + 0.998445i \(0.482244\pi\)
\(132\) −4.81533 11.3019i −0.419121 0.983708i
\(133\) −3.22932 + 16.3920i −0.280017 + 1.42137i
\(134\) 7.81193 + 1.51304i 0.674848 + 0.130706i
\(135\) −17.9323 + 4.80496i −1.54337 + 0.413545i
\(136\) −0.232063 + 0.0827048i −0.0198992 + 0.00709188i
\(137\) 17.2203 + 4.61417i 1.47123 + 0.394216i 0.903354 0.428897i \(-0.141098\pi\)
0.567879 + 0.823112i \(0.307764\pi\)
\(138\) −0.463376 6.56319i −0.0394452 0.558696i
\(139\) 1.72179 4.15676i 0.146040 0.352572i −0.833885 0.551938i \(-0.813888\pi\)
0.979925 + 0.199366i \(0.0638884\pi\)
\(140\) −0.991759 + 18.5046i −0.0838189 + 1.56392i
\(141\) 4.60637 1.90802i 0.387926 0.160684i
\(142\) 1.26920 3.80173i 0.106509 0.319034i
\(143\) 5.41525 3.12650i 0.452846 0.261451i
\(144\) 6.02255 3.64079i 0.501880 0.303399i
\(145\) −6.48847 3.74612i −0.538838 0.311098i
\(146\) −1.95142 9.55865i −0.161501 0.791080i
\(147\) 5.49292 5.53338i 0.453049 0.456386i
\(148\) −0.173965 17.2733i −0.0142999 1.41986i
\(149\) 3.53959 + 4.61288i 0.289974 + 0.377902i 0.915511 0.402293i \(-0.131787\pi\)
−0.625537 + 0.780195i \(0.715120\pi\)
\(150\) −5.00931 + 10.2882i −0.409009 + 0.840025i
\(151\) 6.44656 + 1.72735i 0.524614 + 0.140570i 0.511400 0.859343i \(-0.329127\pi\)
0.0132137 + 0.999913i \(0.495794\pi\)
\(152\) 5.48497 16.9975i 0.444890 1.37868i
\(153\) −0.108360 0.108360i −0.00876039 0.00876039i
\(154\) −10.4397 17.7985i −0.841252 1.43425i
\(155\) 10.8931 + 4.51208i 0.874957 + 0.362419i
\(156\) −1.55776 1.98833i −0.124721 0.159194i
\(157\) −7.34823 + 9.57640i −0.586453 + 0.764280i −0.988481 0.151348i \(-0.951639\pi\)
0.402028 + 0.915627i \(0.368305\pi\)
\(158\) −0.436097 + 7.20964i −0.0346940 + 0.573568i
\(159\) −6.11776 + 10.5963i −0.485170 + 0.840339i
\(160\) 3.37449 19.5211i 0.266777 1.54328i
\(161\) −2.17586 10.8349i −0.171482 0.853907i
\(162\) −0.739109 0.488491i −0.0580699 0.0383795i
\(163\) −21.8254 2.87337i −1.70950 0.225060i −0.788611 0.614892i \(-0.789199\pi\)
−0.920886 + 0.389833i \(0.872533\pi\)
\(164\) −0.886538 6.24709i −0.0692270 0.487816i
\(165\) −2.80780 21.3274i −0.218587 1.66033i
\(166\) 13.7824 + 11.9646i 1.06972 + 0.928634i
\(167\) −5.88770 5.88770i −0.455604 0.455604i 0.441606 0.897209i \(-0.354409\pi\)
−0.897209 + 0.441606i \(0.854409\pi\)
\(168\) −6.52582 + 5.18542i −0.503478 + 0.400064i
\(169\) −8.28329 + 8.28329i −0.637176 + 0.637176i
\(170\) −0.430312 + 0.0303810i −0.0330035 + 0.00233012i
\(171\) 11.0149 1.45013i 0.842327 0.110894i
\(172\) 1.77937 + 3.01150i 0.135676 + 0.229625i
\(173\) 1.59365 12.1050i 0.121163 0.920324i −0.817607 0.575777i \(-0.804699\pi\)
0.938769 0.344546i \(-0.111967\pi\)
\(174\) −0.674079 3.30184i −0.0511018 0.250312i
\(175\) −6.14461 + 18.2111i −0.464489 + 1.37663i
\(176\) 8.85036 + 20.2057i 0.667121 + 1.52306i
\(177\) −3.36337 1.94185i −0.252807 0.145958i
\(178\) 16.0177 + 18.0803i 1.20058 + 1.35517i
\(179\) −6.29016 4.82661i −0.470148 0.360757i 0.346350 0.938105i \(-0.387421\pi\)
−0.816498 + 0.577348i \(0.804088\pi\)
\(180\) 11.8703 3.30911i 0.884757 0.246646i
\(181\) −1.28039 + 3.09113i −0.0951703 + 0.229762i −0.964294 0.264833i \(-0.914683\pi\)
0.869124 + 0.494594i \(0.164683\pi\)
\(182\) −3.02047 2.97925i −0.223892 0.220837i
\(183\) −0.931374 + 0.931374i −0.0688492 + 0.0688492i
\(184\) 0.950681 + 11.7759i 0.0700851 + 0.868131i
\(185\) 7.82865 29.2169i 0.575574 2.14807i
\(186\) 1.72997 + 5.01324i 0.126847 + 0.367589i
\(187\) 0.381081 0.292414i 0.0278674 0.0213834i
\(188\) −8.23628 + 3.50917i −0.600692 + 0.255932i
\(189\) −12.5905 6.18024i −0.915822 0.449546i
\(190\) 17.2440 26.0909i 1.25101 1.89283i
\(191\) 4.09795 7.09787i 0.296518 0.513584i −0.678819 0.734305i \(-0.737508\pi\)
0.975337 + 0.220722i \(0.0708413\pi\)
\(192\) 7.57875 4.68641i 0.546949 0.338213i
\(193\) −3.78434 6.55467i −0.272403 0.471816i 0.697074 0.716999i \(-0.254485\pi\)
−0.969477 + 0.245184i \(0.921152\pi\)
\(194\) −6.36081 12.7364i −0.456679 0.914417i
\(195\) −1.69257 4.08621i −0.121207 0.292620i
\(196\) −9.76254 + 10.0346i −0.697324 + 0.716756i
\(197\) −13.5207 5.60046i −0.963310 0.399016i −0.155092 0.987900i \(-0.549567\pi\)
−0.808218 + 0.588884i \(0.799567\pi\)
\(198\) −8.99510 + 10.3617i −0.639254 + 0.736377i
\(199\) 0.681478 2.54331i 0.0483087 0.180291i −0.937556 0.347835i \(-0.886917\pi\)
0.985865 + 0.167544i \(0.0535837\pi\)
\(200\) 8.80823 18.5631i 0.622836 1.31261i
\(201\) 1.62202 + 6.05346i 0.114409 + 0.426978i
\(202\) −20.6891 + 13.9752i −1.45568 + 0.983294i
\(203\) −1.82927 5.35654i −0.128389 0.375955i
\(204\) −0.138577 0.135813i −0.00970231 0.00950883i
\(205\) 1.44211 10.9539i 0.100721 0.765055i
\(206\) −6.07012 6.85174i −0.422926 0.477383i
\(207\) −6.36428 + 3.67442i −0.442348 + 0.255390i
\(208\) 2.83293 + 3.54189i 0.196428 + 0.245586i
\(209\) 34.8239i 2.40882i
\(210\) −13.4454 + 5.67781i −0.927823 + 0.391806i
\(211\) −9.97140 + 4.13029i −0.686460 + 0.284341i −0.698524 0.715586i \(-0.746160\pi\)
0.0120646 + 0.999927i \(0.496160\pi\)
\(212\) 10.7929 19.1364i 0.741259 1.31429i
\(213\) 3.12969 0.412031i 0.214443 0.0282319i
\(214\) 10.5275 21.6213i 0.719642 1.47800i
\(215\) 1.58525 + 5.91623i 0.108113 + 0.403483i
\(216\) 12.5914 + 8.14090i 0.856736 + 0.553918i
\(217\) 3.95440 + 7.98179i 0.268442 + 0.541839i
\(218\) 4.43584 22.9026i 0.300433 1.55116i
\(219\) 6.09586 4.67752i 0.411920 0.316077i
\(220\) 5.42711 + 38.2427i 0.365895 + 2.57833i
\(221\) 0.0601222 0.0783528i 0.00404426 0.00527058i
\(222\) 12.1716 6.07876i 0.816905 0.407979i
\(223\) −25.7806 −1.72640 −0.863200 0.504863i \(-0.831543\pi\)
−0.863200 + 0.504863i \(0.831543\pi\)
\(224\) 11.6234 9.42848i 0.776622 0.629967i
\(225\) 12.7808 0.852056
\(226\) 13.2778 6.63122i 0.883227 0.441102i
\(227\) −4.72642 + 6.15959i −0.313703 + 0.408826i −0.923419 0.383794i \(-0.874617\pi\)
0.609715 + 0.792621i \(0.291284\pi\)
\(228\) 13.9275 1.97647i 0.922368 0.130895i
\(229\) 17.6325 13.5299i 1.16519 0.894080i 0.169380 0.985551i \(-0.445823\pi\)
0.995808 + 0.0914704i \(0.0291567\pi\)
\(230\) −3.93362 + 20.3096i −0.259375 + 1.33918i
\(231\) 9.00406 13.5292i 0.592424 0.890156i
\(232\) 1.27003 + 5.91631i 0.0833812 + 0.388425i
\(233\) −1.87854 7.01079i −0.123067 0.459292i 0.876696 0.481044i \(-0.159742\pi\)
−0.999763 + 0.0217517i \(0.993076\pi\)
\(234\) −1.23504 + 2.53652i −0.0807368 + 0.165818i
\(235\) −15.5423 + 2.04618i −1.01387 + 0.133478i
\(236\) 6.07409 + 3.42578i 0.395390 + 0.223000i
\(237\) −5.25566 + 2.17696i −0.341392 + 0.141409i
\(238\) −0.259914 0.196617i −0.0168477 0.0127448i
\(239\) 1.36010i 0.0879775i −0.999032 0.0439888i \(-0.985993\pi\)
0.999032 0.0439888i \(-0.0140066\pi\)
\(240\) 14.9868 4.34103i 0.967392 0.280212i
\(241\) −9.29023 + 5.36372i −0.598437 + 0.345508i −0.768426 0.639938i \(-0.778960\pi\)
0.169990 + 0.985446i \(0.445627\pi\)
\(242\) −18.2049 20.5491i −1.17026 1.32094i
\(243\) −1.98474 + 15.0756i −0.127321 + 0.967099i
\(244\) 1.65545 1.68914i 0.105979 0.108136i
\(245\) −21.1850 + 12.3350i −1.35346 + 0.788056i
\(246\) 4.11803 2.78168i 0.262556 0.177353i
\(247\) 1.85315 + 6.91605i 0.117913 + 0.440057i
\(248\) −3.19683 8.97004i −0.202999 0.569598i
\(249\) −3.72043 + 13.8848i −0.235772 + 0.879915i
\(250\) 7.35191 8.46890i 0.464976 0.535620i
\(251\) −17.1357 7.09785i −1.08160 0.448012i −0.230528 0.973066i \(-0.574045\pi\)
−0.851069 + 0.525054i \(0.824045\pi\)
\(252\) 8.39809 + 4.01790i 0.529030 + 0.253104i
\(253\) −8.81505 21.2814i −0.554198 1.33795i
\(254\) 3.63466 + 7.27775i 0.228059 + 0.456647i
\(255\) −0.169879 0.294238i −0.0106382 0.0184259i
\(256\) −13.5230 + 8.55155i −0.845186 + 0.534472i
\(257\) −3.03363 + 5.25440i −0.189233 + 0.327761i −0.944995 0.327086i \(-0.893933\pi\)
0.755762 + 0.654846i \(0.227267\pi\)
\(258\) −1.51901 + 2.29833i −0.0945694 + 0.143088i
\(259\) 18.9771 12.7305i 1.17918 0.791035i
\(260\) 3.11291 + 7.30624i 0.193055 + 0.453114i
\(261\) −2.98617 + 2.29137i −0.184839 + 0.141832i
\(262\) −1.95996 5.67974i −0.121087 0.350895i
\(263\) 3.27941 12.2389i 0.202217 0.754684i −0.788063 0.615595i \(-0.788916\pi\)
0.990280 0.139089i \(-0.0444175\pi\)
\(264\) −11.2566 + 13.2337i −0.692796 + 0.814480i
\(265\) 27.2026 27.2026i 1.67104 1.67104i
\(266\) 22.7797 6.27186i 1.39672 0.384553i
\(267\) −7.28034 + 17.5763i −0.445550 + 1.07565i
\(268\) −3.02182 10.8397i −0.184587 0.662142i
\(269\) 14.8176 + 11.3700i 0.903448 + 0.693240i 0.952169 0.305572i \(-0.0988478\pi\)
−0.0487208 + 0.998812i \(0.515514\pi\)
\(270\) 17.4102 + 19.6520i 1.05955 + 1.19598i
\(271\) 3.69911 + 2.13568i 0.224705 + 0.129733i 0.608127 0.793840i \(-0.291921\pi\)
−0.383422 + 0.923573i \(0.625255\pi\)
\(272\) 0.251272 + 0.241348i 0.0152356 + 0.0146339i
\(273\) 1.06826 3.16606i 0.0646539 0.191619i
\(274\) −5.04313 24.7028i −0.304667 1.49235i
\(275\) −5.22906 + 39.7186i −0.315324 + 2.39512i
\(276\) −8.01098 + 4.73335i −0.482204 + 0.284914i
\(277\) 9.77398 1.28677i 0.587261 0.0773144i 0.168960 0.985623i \(-0.445959\pi\)
0.418301 + 0.908308i \(0.362626\pi\)
\(278\) −6.34709 + 0.448119i −0.380673 + 0.0268764i
\(279\) 4.18850 4.18850i 0.250759 0.250759i
\(280\) 24.0387 10.4377i 1.43659 0.623773i
\(281\) −11.7209 11.7209i −0.699210 0.699210i 0.265030 0.964240i \(-0.414618\pi\)
−0.964240 + 0.265030i \(0.914618\pi\)
\(282\) −5.32466 4.62237i −0.317079 0.275258i
\(283\) 3.79675 + 28.8392i 0.225694 + 1.71431i 0.611089 + 0.791562i \(0.290732\pi\)
−0.385395 + 0.922752i \(0.625935\pi\)
\(284\) −5.61193 + 0.796401i −0.333007 + 0.0472577i
\(285\) 24.4210 + 3.21508i 1.44657 + 0.190445i
\(286\) −7.37739 4.87586i −0.436234 0.288316i
\(287\) 6.26545 5.51502i 0.369838 0.325541i
\(288\) −8.41181 5.31925i −0.495671 0.313440i
\(289\) −8.49621 + 14.7159i −0.499777 + 0.865639i
\(290\) −0.639739 + 10.5763i −0.0375668 + 0.621062i
\(291\) 6.82577 8.89552i 0.400134 0.521465i
\(292\) −10.8606 + 8.50877i −0.635568 + 0.497938i
\(293\) 19.9714 + 8.27244i 1.16674 + 0.483281i 0.880115 0.474761i \(-0.157465\pi\)
0.286629 + 0.958042i \(0.407465\pi\)
\(294\) −10.4717 3.45329i −0.610720 0.201400i
\(295\) 8.63442 + 8.63442i 0.502715 + 0.502715i
\(296\) −21.7443 + 11.1346i −1.26386 + 0.647184i
\(297\) −28.2383 7.56644i −1.63855 0.439049i
\(298\) 3.59968 7.39304i 0.208524 0.428267i
\(299\) −2.88317 3.75741i −0.166738 0.217297i
\(300\) 16.1819 0.162973i 0.934260 0.00940926i
\(301\) −2.03898 + 4.15384i −0.117525 + 0.239423i
\(302\) −1.88793 9.24767i −0.108638 0.532144i
\(303\) −17.0294 9.83196i −0.978316 0.564831i
\(304\) −24.9712 + 3.80063i −1.43219 + 0.217981i
\(305\) 3.58652 2.07068i 0.205364 0.118567i
\(306\) −0.0686281 + 0.205567i −0.00392321 + 0.0117515i
\(307\) 9.63473 3.99084i 0.549883 0.227769i −0.0904034 0.995905i \(-0.528816\pi\)
0.640287 + 0.768136i \(0.278816\pi\)
\(308\) −15.9222 + 24.4546i −0.907254 + 1.39343i
\(309\) 2.75897 6.66075i 0.156953 0.378917i
\(310\) −1.17433 16.6331i −0.0666977 0.944696i
\(311\) −20.6125 5.52310i −1.16883 0.313186i −0.378341 0.925666i \(-0.623505\pi\)
−0.790486 + 0.612480i \(0.790172\pi\)
\(312\) −1.53134 + 3.22725i −0.0866949 + 0.182707i
\(313\) −18.0723 + 4.84246i −1.02151 + 0.273712i −0.730430 0.682987i \(-0.760680\pi\)
−0.291078 + 0.956699i \(0.594014\pi\)
\(314\) 16.7592 + 3.24597i 0.945777 + 0.183181i
\(315\) 12.2759 + 10.7259i 0.691670 + 0.604337i
\(316\) 9.39723 4.00380i 0.528635 0.225232i
\(317\) 20.2146 + 2.66130i 1.13536 + 0.149473i 0.674693 0.738098i \(-0.264276\pi\)
0.460670 + 0.887572i \(0.347609\pi\)
\(318\) 17.2721 + 1.04475i 0.968570 + 0.0585868i
\(319\) −5.89907 10.2175i −0.330285 0.572070i
\(320\) −26.8304 + 8.06538i −1.49987 + 0.450868i
\(321\) 18.9402 1.05714
\(322\) −12.3335 + 9.59913i −0.687316 + 0.534939i
\(323\) 0.210483 + 0.508150i 0.0117116 + 0.0282742i
\(324\) −0.151021 + 1.24379i −0.00839004 + 0.0690992i
\(325\) 1.07513 + 8.16642i 0.0596374 + 0.452991i
\(326\) 10.1554 + 29.4292i 0.562456 + 1.62993i
\(327\) 17.7472 4.75535i 0.981423 0.262971i
\(328\) −7.34367 + 5.06900i −0.405486 + 0.279889i
\(329\) −9.85939 6.56170i −0.543566 0.361758i
\(330\) −25.2093 + 17.0286i −1.38773 + 0.937391i
\(331\) −2.17813 2.83859i −0.119721 0.156023i 0.729648 0.683823i \(-0.239684\pi\)
−0.849369 + 0.527800i \(0.823017\pi\)
\(332\) 6.42898 24.9976i 0.352836 1.37192i
\(333\) −12.0557 9.25068i −0.660649 0.506934i
\(334\) −3.72888 + 11.1694i −0.204035 + 0.611162i
\(335\) 19.7044i 1.07657i
\(336\) 10.6841 + 4.97998i 0.582864 + 0.271680i
\(337\) 10.1269i 0.551647i −0.961208 0.275824i \(-0.911049\pi\)
0.961208 0.275824i \(-0.0889506\pi\)
\(338\) 15.7140 + 5.24609i 0.854730 + 0.285350i
\(339\) 9.27369 + 7.11595i 0.503678 + 0.386486i
\(340\) 0.310340 + 0.525236i 0.0168305 + 0.0284849i
\(341\) 11.3028 + 14.7301i 0.612082 + 0.797680i
\(342\) −8.79467 13.0197i −0.475561 0.704027i
\(343\) −18.1840 3.51309i −0.981844 0.189689i
\(344\) 2.68584 4.15414i 0.144811 0.223976i
\(345\) −15.7379 + 4.21696i −0.847300 + 0.227033i
\(346\) −16.3222 + 5.63247i −0.877488 + 0.302803i
\(347\) 1.71775 + 13.0476i 0.0922135 + 0.700431i 0.973637 + 0.228104i \(0.0732525\pi\)
−0.881423 + 0.472327i \(0.843414\pi\)
\(348\) −3.75158 + 2.93918i −0.201106 + 0.157557i
\(349\) 1.32472 + 3.19817i 0.0709109 + 0.171194i 0.955361 0.295440i \(-0.0954664\pi\)
−0.884450 + 0.466634i \(0.845466\pi\)
\(350\) 26.9234 3.73288i 1.43912 0.199531i
\(351\) −6.01080 −0.320833
\(352\) 19.9720 23.9649i 1.06451 1.27733i
\(353\) 5.04340 + 8.73543i 0.268433 + 0.464940i 0.968457 0.249179i \(-0.0801608\pi\)
−0.700024 + 0.714119i \(0.746827\pi\)
\(354\) −0.331616 + 5.48235i −0.0176252 + 0.291383i
\(355\) −9.84021 1.29549i −0.522264 0.0687573i
\(356\) 12.7541 31.6901i 0.675966 1.67957i
\(357\) 0.0496140 0.251841i 0.00262585 0.0133288i
\(358\) −2.13208 + 11.0081i −0.112684 + 0.581797i
\(359\) −18.5620 + 4.97368i −0.979667 + 0.262501i −0.712904 0.701261i \(-0.752621\pi\)
−0.266763 + 0.963762i \(0.585954\pi\)
\(360\) −11.6872 12.9274i −0.615967 0.681333i
\(361\) −20.1639 5.40290i −1.06126 0.284363i
\(362\) 4.71994 0.333239i 0.248075 0.0175146i
\(363\) 8.27445 19.9763i 0.434296 1.04848i
\(364\) −1.86082 + 5.70401i −0.0975333 + 0.298972i
\(365\) −22.3196 + 9.24510i −1.16826 + 0.483910i
\(366\) 1.76689 + 0.589871i 0.0923566 + 0.0308331i
\(367\) −13.4244 + 7.75059i −0.700749 + 0.404578i −0.807626 0.589695i \(-0.799248\pi\)
0.106877 + 0.994272i \(0.465915\pi\)
\(368\) 14.2982 8.64364i 0.745346 0.450581i
\(369\) −4.80692 2.77528i −0.250238 0.144475i
\(370\) −41.9121 + 8.55645i −2.17890 + 0.444828i
\(371\) 28.9980 1.95407i 1.50550 0.101450i
\(372\) 5.24966 5.35647i 0.272182 0.277720i
\(373\) 0.963790 + 1.25604i 0.0499031 + 0.0650350i 0.817638 0.575732i \(-0.195283\pi\)
−0.767735 + 0.640767i \(0.778616\pi\)
\(374\) −0.610756 0.297378i −0.0315815 0.0153770i
\(375\) 8.53183 + 2.28610i 0.440582 + 0.118054i
\(376\) 9.64406 + 8.20323i 0.497355 + 0.423049i
\(377\) −1.71528 1.71528i −0.0883416 0.0883416i
\(378\) 0.136271 + 19.8346i 0.00700904 + 1.02018i
\(379\) 14.7376 + 6.10452i 0.757020 + 0.313568i 0.727602 0.685999i \(-0.240635\pi\)
0.0294179 + 0.999567i \(0.490635\pi\)
\(380\) −43.9063 5.33111i −2.25235 0.273480i
\(381\) −3.90035 + 5.08304i −0.199821 + 0.260412i
\(382\) −11.5696 0.699823i −0.591953 0.0358060i
\(383\) 8.10643 14.0408i 0.414219 0.717449i −0.581127 0.813813i \(-0.697388\pi\)
0.995346 + 0.0963641i \(0.0307213\pi\)
\(384\) −10.7180 6.62746i −0.546953 0.338206i
\(385\) −38.3551 + 33.7612i −1.95476 + 1.72063i
\(386\) −5.90179 + 8.92966i −0.300393 + 0.454508i
\(387\) 3.05074 + 0.401637i 0.155078 + 0.0204164i
\(388\) −12.0949 + 16.0954i −0.614025 + 0.817122i
\(389\) 1.87502 + 14.2422i 0.0950675 + 0.722110i 0.970898 + 0.239491i \(0.0769807\pi\)
−0.875831 + 0.482618i \(0.839686\pi\)
\(390\) −4.10041 + 4.72340i −0.207633 + 0.239178i
\(391\) −0.257259 0.257259i −0.0130101 0.0130101i
\(392\) 18.8644 + 6.01106i 0.952798 + 0.303604i
\(393\) 3.34617 3.34617i 0.168792 0.168792i
\(394\) 1.45760 + 20.6452i 0.0734328 + 1.04009i
\(395\) 17.7331 2.33460i 0.892247 0.117467i
\(396\) 18.7935 + 4.83337i 0.944406 + 0.242886i
\(397\) −2.18158 + 16.5708i −0.109490 + 0.831662i 0.845281 + 0.534322i \(0.179433\pi\)
−0.954772 + 0.297341i \(0.903900\pi\)
\(398\) −3.64841 + 0.744832i −0.182878 + 0.0373351i
\(399\) 12.2953 + 13.9684i 0.615537 + 0.699293i
\(400\) −29.0517 + 0.585240i −1.45259 + 0.0292620i
\(401\) −4.78277 2.76133i −0.238840 0.137894i 0.375803 0.926699i \(-0.377367\pi\)
−0.614644 + 0.788805i \(0.710700\pi\)
\(402\) 6.63396 5.87719i 0.330872 0.293127i
\(403\) 3.02861 + 2.32393i 0.150866 + 0.115763i
\(404\) 30.7544 + 17.3454i 1.53009 + 0.862968i
\(405\) −0.839570 + 2.02690i −0.0417186 + 0.100718i
\(406\) −5.62125 + 5.69903i −0.278978 + 0.282838i
\(407\) 33.6804 33.6804i 1.66948 1.66948i
\(408\) −0.0842690 + 0.261144i −0.00417194 + 0.0129286i
\(409\) 0.525944 1.96285i 0.0260062 0.0970566i −0.951703 0.307020i \(-0.900668\pi\)
0.977709 + 0.209964i \(0.0673346\pi\)
\(410\) −14.7702 + 5.09689i −0.729447 + 0.251717i
\(411\) 15.7538 12.0883i 0.777076 0.596271i
\(412\) −4.83332 + 12.0093i −0.238121 + 0.591658i
\(413\) 0.620243 + 9.20428i 0.0305202 + 0.452913i
\(414\) 8.67029 + 5.73036i 0.426121 + 0.281632i
\(415\) 22.5980 39.1409i 1.10929 1.92135i
\(416\) 2.69117 5.82225i 0.131946 0.285459i
\(417\) −2.50570 4.34000i −0.122705 0.212531i
\(418\) 44.0593 22.0041i 2.15501 1.07626i
\(419\) 11.5986 + 28.0016i 0.566630 + 1.36797i 0.904379 + 0.426730i \(0.140335\pi\)
−0.337749 + 0.941236i \(0.609665\pi\)
\(420\) 15.6793 + 13.4236i 0.765074 + 0.655003i
\(421\) −18.6395 7.72074i −0.908435 0.376286i −0.120977 0.992655i \(-0.538603\pi\)
−0.787457 + 0.616369i \(0.788603\pi\)
\(422\) 11.5263 + 10.0061i 0.561091 + 0.487087i
\(423\) −2.03835 + 7.60722i −0.0991079 + 0.369876i
\(424\) −31.0311 1.56353i −1.50700 0.0759317i
\(425\) 0.163765 + 0.611180i 0.00794378 + 0.0296466i
\(426\) −2.49886 3.69934i −0.121070 0.179234i
\(427\) 3.06973 + 0.604754i 0.148555 + 0.0292661i
\(428\) −34.0074 + 0.342500i −1.64381 + 0.0165554i
\(429\) 0.909087 6.90520i 0.0438911 0.333386i
\(430\) 6.48356 5.74395i 0.312665 0.276998i
\(431\) 0.870114 0.502361i 0.0419119 0.0241979i −0.478898 0.877871i \(-0.658963\pi\)
0.520810 + 0.853673i \(0.325630\pi\)
\(432\) 2.34377 21.0747i 0.112765 1.01396i
\(433\) 4.39617i 0.211267i −0.994405 0.105633i \(-0.966313\pi\)
0.994405 0.105633i \(-0.0336870\pi\)
\(434\) 7.59992 10.0466i 0.364808 0.482251i
\(435\) −7.70987 + 3.19353i −0.369660 + 0.153118i
\(436\) −31.7793 + 8.85921i −1.52195 + 0.424279i
\(437\) 26.1505 3.44278i 1.25095 0.164690i
\(438\) −9.76980 4.75692i −0.466819 0.227295i
\(439\) 1.14409 + 4.26980i 0.0546044 + 0.203786i 0.987839 0.155482i \(-0.0496930\pi\)
−0.933234 + 0.359268i \(0.883026\pi\)
\(440\) 44.9556 31.0308i 2.14318 1.47934i
\(441\) 1.65231 + 12.2043i 0.0786814 + 0.581157i
\(442\) −0.137122 0.0265581i −0.00652221 0.00126324i
\(443\) 9.73295 7.46836i 0.462426 0.354832i −0.351122 0.936330i \(-0.614200\pi\)
0.813548 + 0.581498i \(0.197533\pi\)
\(444\) −15.3817 11.5586i −0.729985 0.548546i
\(445\) 36.4135 47.4550i 1.72617 2.24958i
\(446\) 16.2900 + 32.6178i 0.771354 + 1.54450i
\(447\) 6.47628 0.306317
\(448\) −19.2734 8.74841i −0.910584 0.413324i
\(449\) 28.8313 1.36063 0.680317 0.732918i \(-0.261842\pi\)
0.680317 + 0.732918i \(0.261842\pi\)
\(450\) −8.07582 16.1704i −0.380698 0.762278i
\(451\) 10.5913 13.8029i 0.498726 0.649952i
\(452\) −16.7797 12.6091i −0.789250 0.593081i
\(453\) 5.89754 4.52534i 0.277090 0.212619i
\(454\) 10.7796 + 2.08783i 0.505912 + 0.0979866i
\(455\) −5.82075 + 8.74607i −0.272881 + 0.410022i
\(456\) −11.3010 16.3722i −0.529217 0.766698i
\(457\) 5.92809 + 22.1239i 0.277304 + 1.03491i 0.954281 + 0.298910i \(0.0966229\pi\)
−0.676977 + 0.736004i \(0.736710\pi\)
\(458\) −28.2595 13.7596i −1.32048 0.642943i
\(459\) −0.457787 + 0.0602688i −0.0213677 + 0.00281311i
\(460\) 28.1813 7.85619i 1.31396 0.366297i
\(461\) 36.0765 14.9434i 1.68025 0.695982i 0.680911 0.732367i \(-0.261584\pi\)
0.999338 + 0.0363849i \(0.0115842\pi\)
\(462\) −22.8066 2.84328i −1.06106 0.132281i
\(463\) 29.7735i 1.38369i −0.722045 0.691847i \(-0.756797\pi\)
0.722045 0.691847i \(-0.243203\pi\)
\(464\) 6.68285 5.34518i 0.310243 0.248144i
\(465\) 11.3733 6.56640i 0.527426 0.304510i
\(466\) −7.68309 + 6.80664i −0.355912 + 0.315312i
\(467\) 3.51458 26.6959i 0.162635 1.23534i −0.694213 0.719769i \(-0.744248\pi\)
0.856849 0.515568i \(-0.172419\pi\)
\(468\) 3.98960 0.0401807i 0.184419 0.00185735i
\(469\) 9.79472 11.2102i 0.452278 0.517637i
\(470\) 12.4095 + 18.3712i 0.572409 + 0.847402i
\(471\) 3.47978 + 12.9867i 0.160340 + 0.598396i
\(472\) 0.496282 9.84961i 0.0228432 0.453365i
\(473\) −2.49631 + 9.31637i −0.114781 + 0.428367i
\(474\) 6.07519 + 5.27392i 0.279043 + 0.242239i
\(475\) −42.3806 17.5546i −1.94456 0.805461i
\(476\) −0.0845285 + 0.453080i −0.00387436 + 0.0207669i
\(477\) −7.39607 17.8557i −0.338643 0.817556i
\(478\) −1.72080 + 0.859405i −0.0787077 + 0.0393083i
\(479\) −4.98812 8.63967i −0.227913 0.394757i 0.729276 0.684219i \(-0.239857\pi\)
−0.957189 + 0.289462i \(0.906523\pi\)
\(480\) −14.9620 16.2184i −0.682918 0.740264i
\(481\) 4.89666 8.48127i 0.223269 0.386712i
\(482\) 12.6564 + 8.36487i 0.576484 + 0.381009i
\(483\) −11.0497 5.42394i −0.502780 0.246798i
\(484\) −14.4956 + 36.0173i −0.658892 + 1.63715i
\(485\) −27.9689 + 21.4613i −1.27000 + 0.974506i
\(486\) 20.3278 7.01471i 0.922087 0.318194i
\(487\) −4.83390 + 18.0404i −0.219045 + 0.817486i 0.765659 + 0.643247i \(0.222413\pi\)
−0.984703 + 0.174239i \(0.944253\pi\)
\(488\) −3.18313 1.02717i −0.144094 0.0464978i
\(489\) −17.3380 + 17.3380i −0.784050 + 0.784050i
\(490\) 28.9925 + 19.0092i 1.30975 + 0.858748i
\(491\) −6.46512 + 15.6082i −0.291767 + 0.704387i −0.999999 0.00159257i \(-0.999493\pi\)
0.708232 + 0.705980i \(0.249493\pi\)
\(492\) −6.12145 3.45249i −0.275976 0.155650i
\(493\) −0.147836 0.113439i −0.00665820 0.00510902i
\(494\) 7.57926 6.71465i 0.341007 0.302106i
\(495\) 29.4265 + 16.9894i 1.32262 + 0.763616i
\(496\) −9.32895 + 9.71254i −0.418882 + 0.436106i
\(497\) −4.95429 5.62842i −0.222230 0.252469i
\(498\) 19.9180 4.06630i 0.892545 0.182215i
\(499\) 5.17884 39.3372i 0.231837 1.76097i −0.339828 0.940488i \(-0.610369\pi\)
0.571665 0.820487i \(-0.306298\pi\)
\(500\) −15.3603 3.95043i −0.686935 0.176669i
\(501\) −9.19494 + 1.21054i −0.410800 + 0.0540828i
\(502\) 1.84732 + 26.1651i 0.0824497 + 1.16781i
\(503\) −10.0651 + 10.0651i −0.448783 + 0.448783i −0.894950 0.446167i \(-0.852789\pi\)
0.446167 + 0.894950i \(0.352789\pi\)
\(504\) −0.223038 13.1641i −0.00993489 0.586375i
\(505\) 43.7178 + 43.7178i 1.94542 + 1.94542i
\(506\) −21.3554 + 24.5999i −0.949362 + 1.09360i
\(507\) 1.70308 + 12.9362i 0.0756365 + 0.574516i
\(508\) 6.91120 9.19718i 0.306635 0.408059i
\(509\) −25.2636 3.32601i −1.11979 0.147423i −0.452174 0.891930i \(-0.649351\pi\)
−0.667615 + 0.744507i \(0.732685\pi\)
\(510\) −0.264930 + 0.400851i −0.0117313 + 0.0177500i
\(511\) −17.2936 5.83502i −0.765023 0.258126i
\(512\) 19.3642 + 11.7059i 0.855785 + 0.517331i
\(513\) 16.7375 28.9903i 0.738980 1.27995i
\(514\) 8.56475 + 0.518064i 0.377775 + 0.0228508i
\(515\) −13.7994 + 17.9837i −0.608072 + 0.792455i
\(516\) 3.86767 + 0.469613i 0.170265 + 0.0206736i
\(517\) −22.8068 9.44688i −1.00304 0.415473i
\(518\) −28.0977 15.9659i −1.23454 0.701499i
\(519\) −9.61612 9.61612i −0.422101 0.422101i
\(520\) 7.27692 8.55506i 0.319114 0.375164i
\(521\) 4.52206 + 1.21168i 0.198115 + 0.0530847i 0.356512 0.934291i \(-0.383966\pi\)
−0.158397 + 0.987376i \(0.550633\pi\)
\(522\) 4.78591 + 2.33027i 0.209474 + 0.101993i
\(523\) 10.1741 + 13.2591i 0.444882 + 0.579781i 0.960935 0.276776i \(-0.0892659\pi\)
−0.516053 + 0.856557i \(0.672599\pi\)
\(524\) −5.94758 + 6.06860i −0.259821 + 0.265108i
\(525\) 11.9261 + 17.7780i 0.520498 + 0.775894i
\(526\) −17.5569 + 3.58428i −0.765517 + 0.156282i
\(527\) 0.253963 + 0.146625i 0.0110628 + 0.00638710i
\(528\) 23.8561 + 5.87990i 1.03820 + 0.255890i
\(529\) 4.80908 2.77652i 0.209090 0.120718i
\(530\) −51.6054 17.2284i −2.24160 0.748352i
\(531\) 5.66760 2.34760i 0.245953 0.101877i
\(532\) −22.3290 24.8580i −0.968085 1.07773i
\(533\) 1.36893 3.30488i 0.0592948 0.143150i
\(534\) 26.8378 1.89481i 1.16139 0.0819965i
\(535\) −57.5218 15.4129i −2.48688 0.666359i
\(536\) −11.8051 + 10.6725i −0.509901 + 0.460982i
\(537\) −8.53018 + 2.28566i −0.368105 + 0.0986333i
\(538\) 5.02252 25.9317i 0.216536 1.11799i
\(539\) −38.6030 + 0.141656i −1.66275 + 0.00610154i
\(540\) 13.8628 34.4449i 0.596560 1.48227i
\(541\) 24.1974 + 3.18565i 1.04033 + 0.136962i 0.631284 0.775552i \(-0.282528\pi\)
0.409046 + 0.912514i \(0.365862\pi\)
\(542\) 0.364718 6.02960i 0.0156660 0.258993i
\(543\) 1.86334 + 3.22739i 0.0799634 + 0.138501i
\(544\) 0.146584 0.470411i 0.00628472 0.0201687i
\(545\) −57.7683 −2.47452
\(546\) −4.68071 + 0.648973i −0.200316 + 0.0277735i
\(547\) 7.04456 + 17.0071i 0.301204 + 0.727170i 0.999931 + 0.0117813i \(0.00375018\pi\)
−0.698727 + 0.715388i \(0.746250\pi\)
\(548\) −28.0675 + 21.9895i −1.19898 + 0.939346i
\(549\) −0.271566 2.06275i −0.0115902 0.0880361i
\(550\) 53.5563 18.4812i 2.28365 0.788040i
\(551\) 13.0492 3.49652i 0.555914 0.148957i
\(552\) 11.0505 + 7.14467i 0.470342 + 0.304097i
\(553\) 11.2491 + 7.48661i 0.478361 + 0.318363i
\(554\) −7.80390 11.5530i −0.331556 0.490840i
\(555\) −20.5096 26.7287i −0.870585 1.13457i
\(556\) 4.57750 + 7.74721i 0.194129 + 0.328555i
\(557\) −13.3932 10.2769i −0.567486 0.435447i 0.284752 0.958601i \(-0.408089\pi\)
−0.852238 + 0.523154i \(0.824755\pi\)
\(558\) −7.94588 2.65272i −0.336376 0.112298i
\(559\) 1.98308i 0.0838754i
\(560\) −28.3952 23.8186i −1.19992 1.00652i
\(561\) 0.535021i 0.0225886i
\(562\) −7.42325 + 22.2354i −0.313131 + 0.937944i
\(563\) −3.37882 2.59266i −0.142400 0.109268i 0.535105 0.844786i \(-0.320272\pi\)
−0.677505 + 0.735518i \(0.736939\pi\)
\(564\) −2.48376 + 9.65751i −0.104585 + 0.406655i
\(565\) −22.3736 29.1579i −0.941266 1.22668i
\(566\) 34.0884 23.0263i 1.43284 0.967867i
\(567\) −1.48518 + 0.735802i −0.0623718 + 0.0309008i
\(568\) 4.55362 + 6.59702i 0.191066 + 0.276805i
\(569\) 7.56591 2.02728i 0.317179 0.0849879i −0.0967172 0.995312i \(-0.530834\pi\)
0.413896 + 0.910324i \(0.364168\pi\)
\(570\) −11.3631 32.9290i −0.475950 1.37925i
\(571\) −1.07205 8.14307i −0.0448641 0.340777i −0.999126 0.0418042i \(-0.986689\pi\)
0.954262 0.298973i \(-0.0966439\pi\)
\(572\) −1.50741 + 12.4148i −0.0630279 + 0.519089i
\(573\) −3.49347 8.43398i −0.145942 0.352334i
\(574\) −10.9366 4.44229i −0.456483 0.185418i
\(575\) 30.3431 1.26540
\(576\) −1.41477 + 14.0037i −0.0589489 + 0.583489i
\(577\) 7.80361 + 13.5162i 0.324868 + 0.562689i 0.981486 0.191535i \(-0.0613466\pi\)
−0.656617 + 0.754224i \(0.728013\pi\)
\(578\) 23.9871 + 1.45093i 0.997730 + 0.0603507i
\(579\) −8.35812 1.10037i −0.347352 0.0457297i
\(580\) 13.7854 5.87344i 0.572408 0.243881i
\(581\) 32.3126 11.0348i 1.34055 0.457801i
\(582\) −15.5676 3.01519i −0.645300 0.124983i
\(583\) 58.5156 15.6792i 2.42347 0.649367i
\(584\) 17.6278 + 8.36444i 0.729444 + 0.346123i
\(585\) 6.74821 + 1.80818i 0.279004 + 0.0747590i
\(586\) −2.15302 30.4950i −0.0889404 1.25974i
\(587\) −2.13892 + 5.16381i −0.0882827 + 0.213133i −0.961854 0.273563i \(-0.911798\pi\)
0.873572 + 0.486696i \(0.161798\pi\)
\(588\) 2.24761 + 15.4308i 0.0926900 + 0.636356i
\(589\) −19.6418 + 8.13589i −0.809325 + 0.335234i
\(590\) 5.46847 16.3801i 0.225133 0.674359i
\(591\) −14.1167 + 8.15030i −0.580685 + 0.335259i
\(592\) 27.8271 + 20.4754i 1.14369 + 0.841534i
\(593\) −27.8916 16.1032i −1.14537 0.661280i −0.197616 0.980279i \(-0.563320\pi\)
−0.947755 + 0.318999i \(0.896653\pi\)
\(594\) 8.26986 + 40.5083i 0.339316 + 1.66207i
\(595\) −0.355618 + 0.724470i −0.0145789 + 0.0297004i
\(596\) −11.6282 + 0.117112i −0.476311 + 0.00479709i
\(597\) −1.78535 2.32671i −0.0730694 0.0952259i
\(598\) −2.93211 + 6.02199i −0.119903 + 0.246257i
\(599\) 11.8298 + 3.16979i 0.483353 + 0.129514i 0.492263 0.870446i \(-0.336170\pi\)
−0.00891060 + 0.999960i \(0.502836\pi\)
\(600\) −10.4310 20.3704i −0.425844 0.831617i
\(601\) 8.82209 + 8.82209i 0.359861 + 0.359861i 0.863761 0.503901i \(-0.168102\pi\)
−0.503901 + 0.863761i \(0.668102\pi\)
\(602\) 6.54382 0.0449586i 0.266706 0.00183237i
\(603\) −9.14565 3.78825i −0.372440 0.154270i
\(604\) −10.5073 + 8.23194i −0.427534 + 0.334953i
\(605\) −41.3857 + 53.9348i −1.68257 + 2.19276i
\(606\) −1.67904 + 27.7582i −0.0682063 + 1.12760i
\(607\) −19.5507 + 33.8629i −0.793540 + 1.37445i 0.130222 + 0.991485i \(0.458431\pi\)
−0.923762 + 0.382967i \(0.874902\pi\)
\(608\) 20.5871 + 29.1921i 0.834917 + 1.18390i
\(609\) −5.97372 2.01559i −0.242067 0.0816758i
\(610\) −4.88604 3.22928i −0.197830 0.130750i
\(611\) −5.03216 0.662496i −0.203579 0.0268017i
\(612\) 0.303448 0.0430629i 0.0122662 0.00174072i
\(613\) −0.335065 2.54507i −0.0135332 0.102794i 0.983345 0.181748i \(-0.0581755\pi\)
−0.996878 + 0.0789534i \(0.974842\pi\)
\(614\) −11.1371 9.66821i −0.449457 0.390177i
\(615\) −8.70174 8.70174i −0.350888 0.350888i
\(616\) 41.0009 + 4.69273i 1.65197 + 0.189075i
\(617\) −21.9180 + 21.9180i −0.882384 + 0.882384i −0.993776 0.111393i \(-0.964469\pi\)
0.111393 + 0.993776i \(0.464469\pi\)
\(618\) −10.1705 + 0.718063i −0.409118 + 0.0288847i
\(619\) 32.7144 4.30693i 1.31490 0.173110i 0.559751 0.828661i \(-0.310897\pi\)
0.755151 + 0.655550i \(0.227563\pi\)
\(620\) −20.3022 + 11.9957i −0.815356 + 0.481759i
\(621\) −2.89020 + 21.9532i −0.115980 + 0.880953i
\(622\) 6.03656 + 29.5689i 0.242044 + 1.18560i
\(623\) 44.3053 8.89741i 1.77505 0.356467i
\(624\) 5.05073 0.101746i 0.202191 0.00407309i
\(625\) 7.40485 + 4.27519i 0.296194 + 0.171008i
\(626\) 17.5461 + 19.8054i 0.701281 + 0.791581i
\(627\) 30.7725 + 23.6126i 1.22894 + 0.942997i
\(628\) −6.48282 23.2549i −0.258693 0.927970i
\(629\) 0.287894 0.695037i 0.0114791 0.0277129i
\(630\) 5.81368 22.3089i 0.231623 0.888809i
\(631\) −7.83811 + 7.83811i −0.312030 + 0.312030i −0.845696 0.533666i \(-0.820814\pi\)
0.533666 + 0.845696i \(0.320814\pi\)
\(632\) −11.0034 9.35952i −0.437694 0.372302i
\(633\) −3.11141 + 11.6119i −0.123667 + 0.461533i
\(634\) −9.40588 27.2571i −0.373555 1.08252i
\(635\) 15.9818 12.2633i 0.634220 0.486654i
\(636\) −9.59187 22.5128i −0.380342 0.892692i
\(637\) −7.65904 + 2.08239i −0.303462 + 0.0825071i
\(638\) −9.19977 + 13.9197i −0.364222 + 0.551085i
\(639\) −2.49311 + 4.31819i −0.0986259 + 0.170825i
\(640\) 27.1577 + 28.8497i 1.07350 + 1.14038i
\(641\) −18.7979 32.5590i −0.742474 1.28600i −0.951366 0.308064i \(-0.900319\pi\)
0.208892 0.977939i \(-0.433014\pi\)
\(642\) −11.9678 23.9632i −0.472330 0.945754i
\(643\) 2.08713 + 5.03877i 0.0823083 + 0.198710i 0.959676 0.281109i \(-0.0907023\pi\)
−0.877368 + 0.479819i \(0.840702\pi\)
\(644\) 19.9380 + 9.53893i 0.785667 + 0.375887i
\(645\) 6.30284 + 2.61072i 0.248174 + 0.102797i
\(646\) 0.509916 0.587388i 0.0200624 0.0231105i
\(647\) −8.02629 + 29.9545i −0.315546 + 1.17763i 0.607934 + 0.793988i \(0.291999\pi\)
−0.923480 + 0.383646i \(0.874668\pi\)
\(648\) 1.66907 0.594839i 0.0655672 0.0233675i
\(649\) 4.97676 + 18.5735i 0.195355 + 0.729074i
\(650\) 9.65284 6.52037i 0.378616 0.255750i
\(651\) 9.73452 + 1.91776i 0.381526 + 0.0751628i
\(652\) 30.8170 31.4441i 1.20689 1.23144i
\(653\) 0.924735 7.02406i 0.0361877 0.274873i −0.963779 0.266702i \(-0.914066\pi\)
0.999967 0.00817028i \(-0.00260071\pi\)
\(654\) −17.2304 19.4491i −0.673762 0.760519i
\(655\) −12.8854 + 7.43938i −0.503474 + 0.290681i
\(656\) 11.0536 + 6.08829i 0.431569 + 0.237708i
\(657\) 12.1369i 0.473505i
\(658\) −2.07204 + 16.6203i −0.0807765 + 0.647926i
\(659\) −15.7593 + 6.52772i −0.613895 + 0.254284i −0.667893 0.744257i \(-0.732804\pi\)
0.0539978 + 0.998541i \(0.482804\pi\)
\(660\) 37.4736 + 21.1351i 1.45866 + 0.822682i
\(661\) 23.4377 3.08563i 0.911621 0.120017i 0.339896 0.940463i \(-0.389608\pi\)
0.571724 + 0.820446i \(0.306275\pi\)
\(662\) −2.21510 + 4.54940i −0.0860925 + 0.176817i
\(663\) −0.0284711 0.106256i −0.00110573 0.00412662i
\(664\) −35.6894 + 7.66126i −1.38502 + 0.297315i
\(665\) −25.9742 52.4277i −1.00724 2.03306i
\(666\) −4.08635 + 21.0982i −0.158343 + 0.817537i
\(667\) −7.08949 + 5.43996i −0.274506 + 0.210636i
\(668\) 16.4877 2.33981i 0.637929 0.0905298i
\(669\) −17.4808 + 22.7814i −0.675846 + 0.880779i
\(670\) −24.9301 + 12.4506i −0.963134 + 0.481010i
\(671\) 6.52146 0.251758
\(672\) −0.450249 16.6642i −0.0173687 0.642837i
\(673\) 31.0641 1.19743 0.598717 0.800960i \(-0.295677\pi\)
0.598717 + 0.800960i \(0.295677\pi\)
\(674\) −12.8126 + 6.39888i −0.493522 + 0.246476i
\(675\) 23.4432 30.5518i 0.902331 1.17594i
\(676\) −3.29183 23.1963i −0.126609 0.892164i
\(677\) 1.75648 1.34779i 0.0675070 0.0517999i −0.574457 0.818535i \(-0.694787\pi\)
0.641964 + 0.766735i \(0.278120\pi\)
\(678\) 3.14337 16.2295i 0.120720 0.623289i
\(679\) −26.5800 1.69317i −1.02005 0.0649780i
\(680\) 0.468437 0.724523i 0.0179637 0.0277842i
\(681\) 2.23821 + 8.35312i 0.0857685 + 0.320092i
\(682\) 11.4947 23.6079i 0.440155 0.903992i
\(683\) −1.21869 + 0.160443i −0.0466318 + 0.00613919i −0.153806 0.988101i \(-0.549153\pi\)
0.107174 + 0.994240i \(0.465820\pi\)
\(684\) −10.9155 + 19.3538i −0.417366 + 0.740012i
\(685\) −57.6815 + 23.8925i −2.20390 + 0.912884i
\(686\) 7.04515 + 25.2263i 0.268985 + 0.963144i
\(687\) 24.7552i 0.944471i
\(688\) −6.95294 0.773256i −0.265078 0.0294801i
\(689\) 10.7869 6.22781i 0.410947 0.237261i
\(690\) 15.2796 + 17.2471i 0.581685 + 0.656585i
\(691\) 2.98330 22.6604i 0.113490 0.862044i −0.836106 0.548568i \(-0.815173\pi\)
0.949596 0.313476i \(-0.101494\pi\)
\(692\) 17.4397 + 17.0920i 0.662959 + 0.649739i
\(693\) 8.29608 + 24.2929i 0.315142 + 0.922812i
\(694\) 15.4225 10.4177i 0.585428 0.395449i
\(695\) 4.07811 + 15.2197i 0.154692 + 0.577317i
\(696\) 6.08917 + 2.88933i 0.230809 + 0.109520i
\(697\) 0.0711212 0.265428i 0.00269391 0.0100538i
\(698\) 3.20928 3.69687i 0.121473 0.139929i
\(699\) −7.46894 3.09373i −0.282501 0.117016i
\(700\) −21.7349 31.7049i −0.821503 1.19833i
\(701\) 1.27343 + 3.07433i 0.0480967 + 0.116116i 0.946102 0.323869i \(-0.104984\pi\)
−0.898005 + 0.439985i \(0.854984\pi\)
\(702\) 3.79804 + 7.60489i 0.143348 + 0.287028i
\(703\) 27.2702 + 47.2334i 1.02852 + 1.78144i
\(704\) −42.9402 10.1260i −1.61837 0.381639i
\(705\) −8.73045 + 15.1216i −0.328808 + 0.569511i
\(706\) 7.86533 11.9006i 0.296015 0.447884i
\(707\) 3.14042 + 46.6031i 0.118107 + 1.75269i
\(708\) 7.14582 3.04457i 0.268557 0.114422i
\(709\) 18.5673 14.2472i 0.697311 0.535065i −0.198169 0.980168i \(-0.563499\pi\)
0.895480 + 0.445103i \(0.146833\pi\)
\(710\) 4.57867 + 13.2684i 0.171834 + 0.497956i
\(711\) 2.32566 8.67950i 0.0872192 0.325507i
\(712\) −48.1533 + 3.88747i −1.80462 + 0.145689i
\(713\) 9.94395 9.94395i 0.372404 0.372404i
\(714\) −0.349979 + 0.0963586i −0.0130976 + 0.00360613i
\(715\) −8.38014 + 20.2314i −0.313399 + 0.756613i
\(716\) 15.2747 4.25817i 0.570843 0.159135i
\(717\) −1.20187 0.922227i −0.0448846 0.0344412i
\(718\) 18.0215 + 20.3420i 0.672557 + 0.759158i
\(719\) −22.1875 12.8100i −0.827455 0.477731i 0.0255258 0.999674i \(-0.491874\pi\)
−0.852980 + 0.521943i \(0.825207\pi\)
\(720\) −8.97102 + 22.9551i −0.334330 + 0.855484i
\(721\) −16.7900 + 3.37178i −0.625294 + 0.125572i
\(722\) 5.90518 + 28.9254i 0.219768 + 1.07649i
\(723\) −1.55960 + 11.8463i −0.0580022 + 0.440570i
\(724\) −3.40400 5.76112i −0.126509 0.214110i
\(725\) 15.4084 2.02855i 0.572253 0.0753386i
\(726\) −30.5024 + 2.15354i −1.13205 + 0.0799255i
\(727\) −11.5255 + 11.5255i −0.427458 + 0.427458i −0.887762 0.460304i \(-0.847741\pi\)
0.460304 + 0.887762i \(0.347741\pi\)
\(728\) 8.39253 1.24988i 0.311048 0.0463236i
\(729\) 13.3049 + 13.3049i 0.492774 + 0.492774i
\(730\) 25.8000 + 22.3972i 0.954902 + 0.828957i
\(731\) 0.0198839 + 0.151033i 0.000735431 + 0.00558615i
\(732\) −0.370134 2.60819i −0.0136805 0.0964016i
\(733\) 46.3332 + 6.09989i 1.71136 + 0.225304i 0.921607 0.388124i \(-0.126877\pi\)
0.789750 + 0.613429i \(0.210210\pi\)
\(734\) 18.2886 + 12.0873i 0.675043 + 0.446149i
\(735\) −3.46465 + 27.0842i −0.127795 + 0.999017i
\(736\) −19.9706 12.6285i −0.736125 0.465493i
\(737\) 15.5144 26.8718i 0.571481 0.989834i
\(738\) −0.473944 + 7.83535i −0.0174461 + 0.288423i
\(739\) −14.8896 + 19.4045i −0.547723 + 0.713807i −0.982402 0.186779i \(-0.940195\pi\)
0.434679 + 0.900586i \(0.356862\pi\)
\(740\) 37.3086 + 47.6207i 1.37149 + 1.75057i
\(741\) 7.36799 + 3.05192i 0.270670 + 0.112115i
\(742\) −20.7952 35.4536i −0.763417 1.30154i
\(743\) −0.0182557 0.0182557i −0.000669735 0.000669735i 0.706772 0.707442i \(-0.250151\pi\)
−0.707442 + 0.706772i \(0.750151\pi\)
\(744\) −10.0941 3.25729i −0.370069 0.119418i
\(745\) −19.6686 5.27018i −0.720600 0.193084i
\(746\) 0.980151 2.01304i 0.0358859 0.0737027i
\(747\) −13.8224 18.0137i −0.505734 0.659086i
\(748\) 0.00967490 + 0.960635i 0.000353749 + 0.0351243i
\(749\) −25.0636 37.3618i −0.915804 1.36517i
\(750\) −2.49863 12.2390i −0.0912369 0.446906i
\(751\) −23.4625 13.5461i −0.856159 0.494304i 0.00656521 0.999978i \(-0.497910\pi\)
−0.862724 + 0.505675i \(0.831244\pi\)
\(752\) 4.28497 17.3851i 0.156257 0.633969i
\(753\) −17.8911 + 10.3294i −0.651989 + 0.376426i
\(754\) −1.08635 + 3.25402i −0.0395625 + 0.118504i
\(755\) −21.5935 + 8.94432i −0.785868 + 0.325517i
\(756\) 25.0087 12.7053i 0.909559 0.462087i
\(757\) 8.50866 20.5417i 0.309253 0.746602i −0.690477 0.723354i \(-0.742599\pi\)
0.999730 0.0232475i \(-0.00740058\pi\)
\(758\) −1.58879 22.5033i −0.0577074 0.817358i
\(759\) −24.7827 6.64051i −0.899556 0.241035i
\(760\) 20.9981 + 58.9190i 0.761682 + 2.13722i
\(761\) −8.68197 + 2.32633i −0.314721 + 0.0843293i −0.412722 0.910857i \(-0.635422\pi\)
0.0980008 + 0.995186i \(0.468755\pi\)
\(762\) 8.89559 + 1.72292i 0.322253 + 0.0624149i
\(763\) −32.8654 28.7156i −1.18981 1.03958i
\(764\) 6.42507 + 15.0801i 0.232451 + 0.545580i
\(765\) 0.532079 + 0.0700495i 0.0192374 + 0.00253265i
\(766\) −22.8866 1.38436i −0.826927 0.0500191i
\(767\) 1.97678 + 3.42388i 0.0713772 + 0.123629i
\(768\) −1.61268 + 17.7482i −0.0581926 + 0.640433i
\(769\) −13.2334 −0.477209 −0.238605 0.971117i \(-0.576690\pi\)
−0.238605 + 0.971117i \(0.576690\pi\)
\(770\) 66.9502 + 27.1943i 2.41272 + 0.980016i
\(771\) 2.58614 + 6.24350i 0.0931376 + 0.224854i
\(772\) 15.0270 + 1.82458i 0.540834 + 0.0656681i