Properties

Label 588.2.ba.b.283.3
Level $588$
Weight $2$
Character 588.283
Analytic conductor $4.695$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.ba (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 283.3
Character \(\chi\) \(=\) 588.283
Dual form 588.2.ba.b.187.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.33511 + 0.466348i) q^{2} +(-0.988831 + 0.149042i) q^{3} +(1.56504 - 1.24525i) q^{4} +(2.58391 + 1.01411i) q^{5} +(1.25069 - 0.660127i) q^{6} +(1.51456 + 2.16936i) q^{7} +(-1.50878 + 2.39240i) q^{8} +(0.955573 - 0.294755i) q^{9} +O(q^{10})\) \(q+(-1.33511 + 0.466348i) q^{2} +(-0.988831 + 0.149042i) q^{3} +(1.56504 - 1.24525i) q^{4} +(2.58391 + 1.01411i) q^{5} +(1.25069 - 0.660127i) q^{6} +(1.51456 + 2.16936i) q^{7} +(-1.50878 + 2.39240i) q^{8} +(0.955573 - 0.294755i) q^{9} +(-3.92273 - 0.148948i) q^{10} +(-1.46471 + 4.74848i) q^{11} +(-1.36196 + 1.46460i) q^{12} +(1.62731 - 0.371422i) q^{13} +(-3.03378 - 2.19002i) q^{14} +(-2.70619 - 0.617671i) q^{15} +(0.898697 - 3.89774i) q^{16} +(-1.65529 - 2.42786i) q^{17} +(-1.13834 + 0.839160i) q^{18} +(0.522408 + 0.904838i) q^{19} +(5.30674 - 1.63050i) q^{20} +(-1.82097 - 1.91940i) q^{21} +(-0.258891 - 7.02281i) q^{22} +(-0.413634 + 0.606690i) q^{23} +(1.13536 - 2.59055i) q^{24} +(1.98290 + 1.83987i) q^{25} +(-1.99942 + 1.25478i) q^{26} +(-0.900969 + 0.433884i) q^{27} +(5.07174 + 1.50913i) q^{28} +(3.85385 + 1.85591i) q^{29} +(3.90112 - 0.437368i) q^{30} +(0.702049 - 1.21599i) q^{31} +(0.617842 + 5.62301i) q^{32} +(0.740628 - 4.91375i) q^{33} +(3.34222 + 2.46953i) q^{34} +(1.71351 + 7.14135i) q^{35} +(1.12846 - 1.65123i) q^{36} +(-0.131088 - 1.74925i) q^{37} +(-1.11944 - 0.964434i) q^{38} +(-1.55377 + 0.609811i) q^{39} +(-6.32470 + 4.65168i) q^{40} +(-4.25079 + 3.38989i) q^{41} +(3.32630 + 1.71340i) q^{42} +(-7.54761 - 6.01902i) q^{43} +(3.62072 + 9.25550i) q^{44} +(2.76803 + 0.207435i) q^{45} +(0.269319 - 1.00290i) q^{46} +(-1.55491 + 1.44274i) q^{47} +(-0.307731 + 3.98815i) q^{48} +(-2.41223 + 6.57123i) q^{49} +(-3.50541 - 1.53170i) q^{50} +(1.99866 + 2.15404i) q^{51} +(2.08429 - 2.60770i) q^{52} +(-0.844926 + 11.2748i) q^{53} +(1.00055 - 0.999448i) q^{54} +(-8.60016 + 10.7843i) q^{55} +(-7.47511 + 0.350343i) q^{56} +(-0.651432 - 0.816870i) q^{57} +(-6.01081 - 0.680618i) q^{58} +(2.28926 + 5.83295i) q^{59} +(-5.00445 + 2.40321i) q^{60} +(14.9255 - 1.11851i) q^{61} +(-0.370241 + 1.95087i) q^{62} +(2.08670 + 1.62656i) q^{63} +(-3.44717 - 7.21921i) q^{64} +(4.58148 + 0.690546i) q^{65} +(1.30270 + 6.90579i) q^{66} +(-0.627522 - 0.362300i) q^{67} +(-5.61389 - 1.73845i) q^{68} +(0.318592 - 0.661563i) q^{69} +(-5.61808 - 8.73540i) q^{70} +(-1.13149 - 2.34957i) q^{71} +(-0.736576 + 2.73083i) q^{72} +(-7.13580 + 7.69056i) q^{73} +(0.990775 + 2.27431i) q^{74} +(-2.23498 - 1.52378i) q^{75} +(1.94434 + 0.765577i) q^{76} +(-12.5195 + 4.01436i) q^{77} +(1.79008 - 1.53876i) q^{78} +(13.9173 - 8.03517i) q^{79} +(6.27488 - 9.16002i) q^{80} +(0.826239 - 0.563320i) q^{81} +(4.09440 - 6.50823i) q^{82} +(0.263097 - 1.15270i) q^{83} +(-5.24002 - 0.736368i) q^{84} +(-1.81500 - 7.95202i) q^{85} +(12.8839 + 4.51624i) q^{86} +(-4.08741 - 1.26080i) q^{87} +(-9.15034 - 10.6686i) q^{88} +(3.12239 + 10.1225i) q^{89} +(-3.79236 + 1.01391i) q^{90} +(3.27040 + 2.96767i) q^{91} +(0.108128 + 1.46457i) q^{92} +(-0.512975 + 1.30704i) q^{93} +(1.40315 - 2.65135i) q^{94} +(0.432251 + 2.86780i) q^{95} +(-1.44901 - 5.46812i) q^{96} +14.9481i q^{97} +(0.156117 - 9.89826i) q^{98} +4.96925i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q + 28 q^{3} - 2 q^{7} - 6 q^{8} + 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q + 28 q^{3} - 2 q^{7} - 6 q^{8} + 28 q^{9} - 23 q^{10} - 6 q^{11} - 30 q^{14} - 12 q^{16} + 6 q^{19} + 25 q^{20} + 4 q^{21} + 6 q^{22} + 15 q^{24} - 26 q^{25} - 12 q^{26} - 56 q^{27} + 36 q^{28} - 13 q^{30} - 2 q^{31} - 25 q^{32} + 6 q^{33} + 68 q^{34} + 12 q^{35} + 16 q^{37} + 82 q^{38} - 8 q^{39} - 19 q^{40} - 9 q^{42} - 11 q^{44} + 10 q^{46} - 4 q^{47} - 8 q^{48} - 4 q^{49} - 114 q^{50} - 8 q^{52} - 4 q^{53} - 41 q^{56} - 12 q^{57} - 33 q^{58} + 10 q^{59} + 17 q^{60} + 2 q^{61} + 16 q^{62} + 12 q^{63} + 84 q^{64} - 4 q^{65} + 15 q^{66} - 42 q^{67} + 10 q^{68} - 38 q^{70} - 28 q^{71} + 33 q^{72} + 18 q^{73} + 2 q^{74} - 54 q^{75} - 7 q^{76} - 8 q^{77} - 6 q^{78} + 6 q^{79} - 14 q^{80} + 28 q^{81} - 87 q^{82} - 10 q^{83} - 14 q^{84} + 24 q^{85} + 126 q^{86} - 244 q^{88} - 20 q^{90} + 34 q^{91} + 14 q^{92} - 2 q^{93} - 184 q^{94} + 24 q^{95} - 20 q^{96} - 122 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{19}{42}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.33511 + 0.466348i −0.944066 + 0.329758i
\(3\) −0.988831 + 0.149042i −0.570902 + 0.0860496i
\(4\) 1.56504 1.24525i 0.782520 0.622626i
\(5\) 2.58391 + 1.01411i 1.15556 + 0.453523i 0.864229 0.503099i \(-0.167807\pi\)
0.291330 + 0.956623i \(0.405902\pi\)
\(6\) 1.25069 0.660127i 0.510593 0.269496i
\(7\) 1.51456 + 2.16936i 0.572449 + 0.819940i
\(8\) −1.50878 + 2.39240i −0.533434 + 0.845842i
\(9\) 0.955573 0.294755i 0.318524 0.0982517i
\(10\) −3.92273 0.148948i −1.24048 0.0471014i
\(11\) −1.46471 + 4.74848i −0.441627 + 1.43172i 0.412166 + 0.911109i \(0.364772\pi\)
−0.853793 + 0.520612i \(0.825704\pi\)
\(12\) −1.36196 + 1.46460i −0.393165 + 0.422794i
\(13\) 1.62731 0.371422i 0.451334 0.103014i 0.00918920 0.999958i \(-0.497075\pi\)
0.442145 + 0.896944i \(0.354218\pi\)
\(14\) −3.03378 2.19002i −0.810811 0.585308i
\(15\) −2.70619 0.617671i −0.698736 0.159482i
\(16\) 0.898697 3.89774i 0.224674 0.974434i
\(17\) −1.65529 2.42786i −0.401467 0.588843i 0.571268 0.820763i \(-0.306452\pi\)
−0.972735 + 0.231920i \(0.925499\pi\)
\(18\) −1.13834 + 0.839160i −0.268309 + 0.197792i
\(19\) 0.522408 + 0.904838i 0.119849 + 0.207584i 0.919708 0.392604i \(-0.128426\pi\)
−0.799859 + 0.600188i \(0.795092\pi\)
\(20\) 5.30674 1.63050i 1.18662 0.364590i
\(21\) −1.82097 1.91940i −0.397368 0.418846i
\(22\) −0.258891 7.02281i −0.0551958 1.49727i
\(23\) −0.413634 + 0.606690i −0.0862487 + 0.126504i −0.866939 0.498415i \(-0.833916\pi\)
0.780690 + 0.624919i \(0.214868\pi\)
\(24\) 1.13536 2.59055i 0.231754 0.528794i
\(25\) 1.98290 + 1.83987i 0.396581 + 0.367973i
\(26\) −1.99942 + 1.25478i −0.392119 + 0.246083i
\(27\) −0.900969 + 0.433884i −0.173392 + 0.0835010i
\(28\) 5.07174 + 1.50913i 0.958469 + 0.285198i
\(29\) 3.85385 + 1.85591i 0.715641 + 0.344635i 0.756019 0.654550i \(-0.227142\pi\)
−0.0403776 + 0.999184i \(0.512856\pi\)
\(30\) 3.90112 0.437368i 0.712243 0.0798522i
\(31\) 0.702049 1.21599i 0.126092 0.218397i −0.796067 0.605208i \(-0.793090\pi\)
0.922159 + 0.386811i \(0.126423\pi\)
\(32\) 0.617842 + 5.62301i 0.109220 + 0.994018i
\(33\) 0.740628 4.91375i 0.128927 0.855374i
\(34\) 3.34222 + 2.46953i 0.573186 + 0.423520i
\(35\) 1.71351 + 7.14135i 0.289636 + 1.20711i
\(36\) 1.12846 1.65123i 0.188077 0.275205i
\(37\) −0.131088 1.74925i −0.0215507 0.287575i −0.997558 0.0698381i \(-0.977752\pi\)
0.976008 0.217736i \(-0.0698673\pi\)
\(38\) −1.11944 0.964434i −0.181597 0.156452i
\(39\) −1.55377 + 0.609811i −0.248803 + 0.0976480i
\(40\) −6.32470 + 4.65168i −1.00002 + 0.735495i
\(41\) −4.25079 + 3.38989i −0.663862 + 0.529412i −0.896440 0.443166i \(-0.853855\pi\)
0.232578 + 0.972578i \(0.425284\pi\)
\(42\) 3.32630 + 1.71340i 0.513259 + 0.264384i
\(43\) −7.54761 6.01902i −1.15100 0.917892i −0.153471 0.988153i \(-0.549045\pi\)
−0.997529 + 0.0702613i \(0.977617\pi\)
\(44\) 3.62072 + 9.25550i 0.545844 + 1.39532i
\(45\) 2.76803 + 0.207435i 0.412633 + 0.0309226i
\(46\) 0.269319 1.00290i 0.0397089 0.147869i
\(47\) −1.55491 + 1.44274i −0.226807 + 0.210446i −0.785388 0.619004i \(-0.787536\pi\)
0.558581 + 0.829450i \(0.311346\pi\)
\(48\) −0.307731 + 3.98815i −0.0444172 + 0.575639i
\(49\) −2.41223 + 6.57123i −0.344605 + 0.938748i
\(50\) −3.50541 1.53170i −0.495741 0.216615i
\(51\) 1.99866 + 2.15404i 0.279868 + 0.301626i
\(52\) 2.08429 2.60770i 0.289038 0.361623i
\(53\) −0.844926 + 11.2748i −0.116060 + 1.54871i 0.570295 + 0.821440i \(0.306829\pi\)
−0.686355 + 0.727267i \(0.740790\pi\)
\(54\) 1.00055 0.999448i 0.136158 0.136008i
\(55\) −8.60016 + 10.7843i −1.15965 + 1.45415i
\(56\) −7.47511 + 0.350343i −0.998904 + 0.0468166i
\(57\) −0.651432 0.816870i −0.0862843 0.108197i
\(58\) −6.01081 0.680618i −0.789258 0.0893695i
\(59\) 2.28926 + 5.83295i 0.298037 + 0.759385i 0.998936 + 0.0461245i \(0.0146871\pi\)
−0.700899 + 0.713260i \(0.747218\pi\)
\(60\) −5.00445 + 2.40321i −0.646072 + 0.310253i
\(61\) 14.9255 1.11851i 1.91101 0.143210i 0.934121 0.356957i \(-0.116186\pi\)
0.976889 + 0.213747i \(0.0685668\pi\)
\(62\) −0.370241 + 1.95087i −0.0470207 + 0.247761i
\(63\) 2.08670 + 1.62656i 0.262899 + 0.204927i
\(64\) −3.44717 7.21921i −0.430896 0.902402i
\(65\) 4.58148 + 0.690546i 0.568262 + 0.0856517i
\(66\) 1.30270 + 6.90579i 0.160351 + 0.850044i
\(67\) −0.627522 0.362300i −0.0766640 0.0442620i 0.461178 0.887308i \(-0.347427\pi\)
−0.537842 + 0.843046i \(0.680760\pi\)
\(68\) −5.61389 1.73845i −0.680785 0.210818i
\(69\) 0.318592 0.661563i 0.0383540 0.0796428i
\(70\) −5.61808 8.73540i −0.671489 1.04408i
\(71\) −1.13149 2.34957i −0.134283 0.278842i 0.822974 0.568078i \(-0.192313\pi\)
−0.957258 + 0.289236i \(0.906599\pi\)
\(72\) −0.736576 + 2.73083i −0.0868064 + 0.321832i
\(73\) −7.13580 + 7.69056i −0.835182 + 0.900112i −0.996223 0.0868358i \(-0.972324\pi\)
0.161041 + 0.986948i \(0.448515\pi\)
\(74\) 0.990775 + 2.27431i 0.115175 + 0.264383i
\(75\) −2.23498 1.52378i −0.258073 0.175951i
\(76\) 1.94434 + 0.765577i 0.223031 + 0.0878177i
\(77\) −12.5195 + 4.01436i −1.42674 + 0.457479i
\(78\) 1.79008 1.53876i 0.202686 0.174231i
\(79\) 13.9173 8.03517i 1.56582 0.904027i 0.569172 0.822218i \(-0.307264\pi\)
0.996648 0.0818086i \(-0.0260696\pi\)
\(80\) 6.27488 9.16002i 0.701553 1.02412i
\(81\) 0.826239 0.563320i 0.0918043 0.0625911i
\(82\) 4.09440 6.50823i 0.452151 0.718713i
\(83\) 0.263097 1.15270i 0.0288787 0.126526i −0.958434 0.285315i \(-0.907902\pi\)
0.987313 + 0.158789i \(0.0507590\pi\)
\(84\) −5.24002 0.736368i −0.571733 0.0803443i
\(85\) −1.81500 7.95202i −0.196864 0.862518i
\(86\) 12.8839 + 4.51624i 1.38930 + 0.486999i
\(87\) −4.08741 1.26080i −0.438216 0.135172i
\(88\) −9.15034 10.6686i −0.975430 1.13728i
\(89\) 3.12239 + 10.1225i 0.330972 + 1.07299i 0.956242 + 0.292577i \(0.0945128\pi\)
−0.625270 + 0.780409i \(0.715011\pi\)
\(90\) −3.79236 + 1.01391i −0.399750 + 0.106876i
\(91\) 3.27040 + 2.96767i 0.342831 + 0.311097i
\(92\) 0.108128 + 1.46457i 0.0112731 + 0.152692i
\(93\) −0.512975 + 1.30704i −0.0531930 + 0.135534i
\(94\) 1.40315 2.65135i 0.144724 0.273466i
\(95\) 0.432251 + 2.86780i 0.0443480 + 0.294230i
\(96\) −1.44901 5.46812i −0.147889 0.558088i
\(97\) 14.9481i 1.51775i 0.651234 + 0.758877i \(0.274252\pi\)
−0.651234 + 0.758877i \(0.725748\pi\)
\(98\) 0.156117 9.89826i 0.0157702 0.999876i
\(99\) 4.96925i 0.499429i
\(100\) 5.39442 + 0.410248i 0.539442 + 0.0410248i
\(101\) −2.60866 17.3073i −0.259571 1.72214i −0.615938 0.787795i \(-0.711223\pi\)
0.356367 0.934346i \(-0.384015\pi\)
\(102\) −3.67296 1.94381i −0.363677 0.192466i
\(103\) 4.51346 11.5001i 0.444724 1.13314i −0.516234 0.856447i \(-0.672667\pi\)
0.960959 0.276692i \(-0.0892382\pi\)
\(104\) −1.56666 + 4.45357i −0.153623 + 0.436708i
\(105\) −2.75873 6.80620i −0.269225 0.664217i
\(106\) −4.12989 15.4471i −0.401130 1.50035i
\(107\) 0.974302 + 3.15861i 0.0941893 + 0.305354i 0.990392 0.138291i \(-0.0441611\pi\)
−0.896202 + 0.443646i \(0.853685\pi\)
\(108\) −0.869757 + 1.80098i −0.0836924 + 0.173299i
\(109\) 7.61812 + 2.34988i 0.729684 + 0.225078i 0.637267 0.770643i \(-0.280065\pi\)
0.0924165 + 0.995720i \(0.470541\pi\)
\(110\) 6.45295 18.4088i 0.615264 1.75521i
\(111\) 0.390336 + 1.71017i 0.0370490 + 0.162322i
\(112\) 9.81671 3.95375i 0.927592 0.373594i
\(113\) 2.69255 11.7968i 0.253294 1.10975i −0.674974 0.737841i \(-0.735845\pi\)
0.928268 0.371911i \(-0.121298\pi\)
\(114\) 1.25068 + 0.786818i 0.117137 + 0.0736923i
\(115\) −1.68404 + 1.14816i −0.157038 + 0.107067i
\(116\) 8.34250 1.89443i 0.774582 0.175893i
\(117\) 1.44553 0.834578i 0.133639 0.0771568i
\(118\) −5.77660 6.72003i −0.531779 0.618629i
\(119\) 2.75988 7.26805i 0.252997 0.666261i
\(120\) 5.56077 5.54237i 0.507626 0.505947i
\(121\) −11.3141 7.71380i −1.02855 0.701254i
\(122\) −19.4055 + 8.45379i −1.75689 + 0.765370i
\(123\) 3.69807 3.98558i 0.333444 0.359367i
\(124\) −0.415473 2.77729i −0.0373106 0.249408i
\(125\) −2.76403 5.73956i −0.247222 0.513362i
\(126\) −3.54451 1.19850i −0.315770 0.106771i
\(127\) −7.11965 + 14.7841i −0.631766 + 1.31188i 0.301766 + 0.953382i \(0.402424\pi\)
−0.933532 + 0.358494i \(0.883290\pi\)
\(128\) 7.96901 + 8.03087i 0.704368 + 0.709835i
\(129\) 8.36040 + 4.82688i 0.736092 + 0.424983i
\(130\) −6.43881 + 1.21461i −0.564721 + 0.106528i
\(131\) 11.2970 + 1.70274i 0.987019 + 0.148769i 0.622663 0.782490i \(-0.286051\pi\)
0.364357 + 0.931260i \(0.381289\pi\)
\(132\) −4.95974 8.61248i −0.431690 0.749620i
\(133\) −1.17170 + 2.50372i −0.101599 + 0.217100i
\(134\) 1.00677 + 0.191067i 0.0869715 + 0.0165057i
\(135\) −2.76803 + 0.207435i −0.238234 + 0.0178532i
\(136\) 8.30589 0.297004i 0.712224 0.0254679i
\(137\) −8.16022 20.7919i −0.697175 1.77637i −0.627247 0.778820i \(-0.715818\pi\)
−0.0699276 0.997552i \(-0.522277\pi\)
\(138\) −0.116837 + 1.03183i −0.00994582 + 0.0878356i
\(139\) 4.02172 + 5.04308i 0.341118 + 0.427749i 0.922569 0.385833i \(-0.126086\pi\)
−0.581450 + 0.813582i \(0.697515\pi\)
\(140\) 11.5745 + 9.04274i 0.978223 + 0.764251i
\(141\) 1.32251 1.65838i 0.111376 0.139660i
\(142\) 2.60638 + 2.60926i 0.218723 + 0.218964i
\(143\) −0.619846 + 8.27126i −0.0518341 + 0.691678i
\(144\) −0.290108 3.98947i −0.0241757 0.332455i
\(145\) 8.07588 + 8.70373i 0.670666 + 0.722806i
\(146\) 5.94060 13.5955i 0.491648 1.12517i
\(147\) 1.40590 6.85736i 0.115957 0.565586i
\(148\) −2.38341 2.57440i −0.195915 0.211615i
\(149\) 13.5676 12.5889i 1.11150 1.03132i 0.112212 0.993684i \(-0.464206\pi\)
0.999291 0.0376406i \(-0.0119842\pi\)
\(150\) 3.69455 + 0.992139i 0.301659 + 0.0810078i
\(151\) 5.08554 + 0.381109i 0.413855 + 0.0310142i 0.280031 0.959991i \(-0.409655\pi\)
0.133824 + 0.991005i \(0.457274\pi\)
\(152\) −2.95293 0.115391i −0.239515 0.00935942i
\(153\) −2.29737 1.83210i −0.185732 0.148116i
\(154\) 14.8429 11.1981i 1.19607 0.902367i
\(155\) 3.04717 2.43004i 0.244755 0.195185i
\(156\) −1.67235 + 2.88922i −0.133895 + 0.231323i
\(157\) −6.84677 + 2.68716i −0.546432 + 0.214459i −0.622466 0.782647i \(-0.713869\pi\)
0.0760347 + 0.997105i \(0.475774\pi\)
\(158\) −14.8340 + 17.2181i −1.18013 + 1.36980i
\(159\) −0.844926 11.2748i −0.0670070 0.894146i
\(160\) −4.10590 + 15.1559i −0.324600 + 1.19818i
\(161\) −1.94260 + 0.0215456i −0.153098 + 0.00169803i
\(162\) −0.840417 + 1.13741i −0.0660294 + 0.0893633i
\(163\) 2.43496 16.1549i 0.190721 1.26535i −0.664579 0.747218i \(-0.731389\pi\)
0.855300 0.518133i \(-0.173373\pi\)
\(164\) −2.43138 + 10.5986i −0.189859 + 0.827613i
\(165\) 6.89679 11.9456i 0.536915 0.929964i
\(166\) 0.186297 + 1.66168i 0.0144595 + 0.128972i
\(167\) 17.7766 + 8.56078i 1.37560 + 0.662453i 0.968056 0.250734i \(-0.0806719\pi\)
0.407542 + 0.913187i \(0.366386\pi\)
\(168\) 7.33940 1.46054i 0.566247 0.112683i
\(169\) −9.20242 + 4.43165i −0.707879 + 0.340896i
\(170\) 6.13163 + 9.77041i 0.470274 + 0.749356i
\(171\) 0.765905 + 0.710656i 0.0585702 + 0.0543452i
\(172\) −19.3075 0.0213265i −1.47218 0.00162613i
\(173\) 2.62029 3.84326i 0.199217 0.292198i −0.713611 0.700542i \(-0.752941\pi\)
0.912828 + 0.408345i \(0.133894\pi\)
\(174\) 6.04512 0.222849i 0.458279 0.0168941i
\(175\) −0.988109 + 7.08822i −0.0746940 + 0.535819i
\(176\) 17.1920 + 9.97651i 1.29590 + 0.752007i
\(177\) −3.13305 5.42660i −0.235494 0.407888i
\(178\) −8.88935 12.0586i −0.666285 0.903828i
\(179\) −10.8230 15.8744i −0.808948 1.18651i −0.979556 0.201170i \(-0.935526\pi\)
0.170608 0.985339i \(-0.445427\pi\)
\(180\) 4.59038 3.12225i 0.342147 0.232718i
\(181\) 2.73047 + 0.623212i 0.202954 + 0.0463230i 0.322789 0.946471i \(-0.395379\pi\)
−0.119835 + 0.992794i \(0.538237\pi\)
\(182\) −5.75031 2.43703i −0.426241 0.180645i
\(183\) −14.5921 + 3.33054i −1.07868 + 0.246201i
\(184\) −0.827363 1.90494i −0.0609940 0.140434i
\(185\) 1.43521 4.65283i 0.105519 0.342083i
\(186\) 0.0753434 1.98427i 0.00552445 0.145493i
\(187\) 13.9532 4.30399i 1.02036 0.314739i
\(188\) −0.636913 + 4.19420i −0.0464517 + 0.305894i
\(189\) −2.30582 1.29738i −0.167724 0.0943707i
\(190\) −1.91449 3.62725i −0.138892 0.263148i
\(191\) −23.5225 9.23191i −1.70203 0.667997i −0.702964 0.711225i \(-0.748140\pi\)
−0.999065 + 0.0432283i \(0.986236\pi\)
\(192\) 4.48463 + 6.62481i 0.323650 + 0.478104i
\(193\) −7.38095 + 1.11250i −0.531292 + 0.0800795i −0.409210 0.912440i \(-0.634195\pi\)
−0.122083 + 0.992520i \(0.538957\pi\)
\(194\) −6.97103 19.9574i −0.500491 1.43286i
\(195\) −4.63322 −0.331792
\(196\) 4.40760 + 13.2881i 0.314829 + 0.949149i
\(197\) −9.09835 −0.648231 −0.324115 0.946018i \(-0.605067\pi\)
−0.324115 + 0.946018i \(0.605067\pi\)
\(198\) −2.31740 6.63450i −0.164690 0.471493i
\(199\) −16.2305 + 2.44635i −1.15055 + 0.173417i −0.696497 0.717560i \(-0.745259\pi\)
−0.454049 + 0.890977i \(0.650021\pi\)
\(200\) −7.39347 + 1.96795i −0.522797 + 0.139155i
\(201\) 0.674511 + 0.264726i 0.0475763 + 0.0186723i
\(202\) 11.5541 + 21.8906i 0.812941 + 1.54022i
\(203\) 1.81073 + 11.1713i 0.127088 + 0.784069i
\(204\) 5.81029 + 0.882326i 0.406802 + 0.0617752i
\(205\) −14.4214 + 4.44840i −1.00723 + 0.310690i
\(206\) −0.662917 + 17.4588i −0.0461876 + 1.21641i
\(207\) −0.216433 + 0.701658i −0.0150431 + 0.0487686i
\(208\) 0.0147496 6.67661i 0.00102270 0.462940i
\(209\) −5.06178 + 1.15532i −0.350131 + 0.0799151i
\(210\) 6.85727 + 7.80050i 0.473197 + 0.538286i
\(211\) 8.35431 + 1.90682i 0.575135 + 0.131271i 0.500188 0.865917i \(-0.333264\pi\)
0.0749466 + 0.997188i \(0.476121\pi\)
\(212\) 12.7176 + 18.6976i 0.873446 + 1.28416i
\(213\) 1.46904 + 2.15468i 0.100657 + 0.147637i
\(214\) −2.77381 3.76273i −0.189614 0.257215i
\(215\) −13.3984 23.2067i −0.913763 1.58268i
\(216\) 0.321340 2.81011i 0.0218644 0.191204i
\(217\) 3.70120 0.318682i 0.251254 0.0216336i
\(218\) −11.2669 + 0.415346i −0.763091 + 0.0281308i
\(219\) 5.90988 8.66820i 0.399352 0.585743i
\(220\) −0.0304719 + 27.5872i −0.00205442 + 1.85993i
\(221\) −3.59543 3.33607i −0.241855 0.224408i
\(222\) −1.31868 2.10124i −0.0885038 0.141026i
\(223\) 19.8943 9.58061i 1.33222 0.641565i 0.373958 0.927446i \(-0.378000\pi\)
0.958265 + 0.285880i \(0.0922860\pi\)
\(224\) −11.2626 + 9.85669i −0.752512 + 0.658578i
\(225\) 2.43712 + 1.17366i 0.162475 + 0.0782437i
\(226\) 1.90658 + 17.0057i 0.126824 + 1.13120i
\(227\) 8.20617 14.2135i 0.544663 0.943384i −0.453965 0.891019i \(-0.649991\pi\)
0.998628 0.0523644i \(-0.0166757\pi\)
\(228\) −2.03673 0.467237i −0.134886 0.0309435i
\(229\) −1.96280 + 13.0223i −0.129705 + 0.860539i 0.825459 + 0.564462i \(0.190916\pi\)
−0.955164 + 0.296076i \(0.904322\pi\)
\(230\) 1.71294 2.31827i 0.112948 0.152862i
\(231\) 11.7814 5.83546i 0.775160 0.383945i
\(232\) −10.2547 + 6.41978i −0.673254 + 0.421479i
\(233\) 0.514827 + 6.86990i 0.0337275 + 0.450062i 0.988345 + 0.152228i \(0.0486449\pi\)
−0.954618 + 0.297833i \(0.903736\pi\)
\(234\) −1.54074 + 1.78837i −0.100721 + 0.116910i
\(235\) −5.48084 + 2.15107i −0.357531 + 0.140320i
\(236\) 10.8463 + 6.27808i 0.706032 + 0.408668i
\(237\) −12.5643 + 10.0197i −0.816138 + 0.650849i
\(238\) −0.295299 + 10.9907i −0.0191414 + 0.712422i
\(239\) −4.31315 3.43962i −0.278994 0.222491i 0.473988 0.880531i \(-0.342814\pi\)
−0.752982 + 0.658041i \(0.771385\pi\)
\(240\) −4.83956 + 9.99293i −0.312393 + 0.645041i
\(241\) 21.0121 + 1.57464i 1.35351 + 0.101431i 0.731639 0.681692i \(-0.238756\pi\)
0.621867 + 0.783123i \(0.286375\pi\)
\(242\) 18.7028 + 5.02248i 1.20226 + 0.322857i
\(243\) −0.733052 + 0.680173i −0.0470253 + 0.0436331i
\(244\) 21.9661 20.3365i 1.40624 1.30191i
\(245\) −12.8969 + 14.5332i −0.823955 + 0.928492i
\(246\) −3.07867 + 7.04577i −0.196289 + 0.449222i
\(247\) 1.18620 + 1.27841i 0.0754758 + 0.0813436i
\(248\) 1.84989 + 3.51424i 0.117468 + 0.223154i
\(249\) −0.0883570 + 1.17904i −0.00559940 + 0.0747187i
\(250\) 6.36692 + 6.37395i 0.402679 + 0.403124i
\(251\) 9.37517 11.7561i 0.591755 0.742038i −0.392312 0.919832i \(-0.628325\pi\)
0.984068 + 0.177794i \(0.0568962\pi\)
\(252\) 5.29124 0.0528405i 0.333317 0.00332864i
\(253\) −2.27500 2.85276i −0.143028 0.179352i
\(254\) 2.61098 23.0586i 0.163828 1.44683i
\(255\) 2.97991 + 7.59269i 0.186609 + 0.475473i
\(256\) −14.3847 7.00576i −0.899043 0.437860i
\(257\) 3.14679 0.235819i 0.196291 0.0147100i 0.0237784 0.999717i \(-0.492430\pi\)
0.172513 + 0.985007i \(0.444811\pi\)
\(258\) −13.4131 2.54556i −0.835061 0.158480i
\(259\) 3.59621 2.93371i 0.223457 0.182292i
\(260\) 8.03009 4.62436i 0.498005 0.286790i
\(261\) 4.22967 + 0.637520i 0.261810 + 0.0394615i
\(262\) −15.8767 + 2.99496i −0.980869 + 0.185029i
\(263\) −21.8911 12.6388i −1.34986 0.779344i −0.361634 0.932320i \(-0.617781\pi\)
−0.988230 + 0.152976i \(0.951114\pi\)
\(264\) 10.6382 + 9.18565i 0.654737 + 0.565337i
\(265\) −13.6170 + 28.2761i −0.836489 + 1.73699i
\(266\) 0.396745 3.88916i 0.0243260 0.238460i
\(267\) −4.59620 9.54410i −0.281283 0.584090i
\(268\) −1.43325 + 0.214409i −0.0875497 + 0.0130971i
\(269\) 0.254593 0.274386i 0.0155228 0.0167296i −0.725243 0.688493i \(-0.758272\pi\)
0.740766 + 0.671764i \(0.234463\pi\)
\(270\) 3.59888 1.56781i 0.219021 0.0954140i
\(271\) 8.46968 + 5.77453i 0.514496 + 0.350778i 0.792569 0.609782i \(-0.208743\pi\)
−0.278073 + 0.960560i \(0.589696\pi\)
\(272\) −10.9508 + 4.26997i −0.663988 + 0.258905i
\(273\) −3.67618 2.44710i −0.222492 0.148105i
\(274\) 20.5911 + 23.9540i 1.24395 + 1.44711i
\(275\) −11.6410 + 6.72091i −0.701976 + 0.405286i
\(276\) −0.325204 1.43210i −0.0195750 0.0862023i
\(277\) 4.80462 3.27573i 0.288681 0.196820i −0.410317 0.911943i \(-0.634582\pi\)
0.698998 + 0.715123i \(0.253630\pi\)
\(278\) −7.72128 4.85755i −0.463091 0.291337i
\(279\) 0.312441 1.36890i 0.0187054 0.0819536i
\(280\) −19.6703 6.67532i −1.17552 0.398927i
\(281\) −4.06111 17.7929i −0.242265 1.06143i −0.938949 0.344055i \(-0.888199\pi\)
0.696684 0.717378i \(-0.254658\pi\)
\(282\) −0.992318 + 2.83087i −0.0590917 + 0.168576i
\(283\) 7.90707 + 2.43901i 0.470027 + 0.144984i 0.520715 0.853730i \(-0.325665\pi\)
−0.0506884 + 0.998715i \(0.516142\pi\)
\(284\) −4.69663 2.26817i −0.278694 0.134591i
\(285\) −0.854846 2.77134i −0.0506367 0.164160i
\(286\) −3.02972 11.3321i −0.179151 0.670082i
\(287\) −13.7920 4.08730i −0.814113 0.241266i
\(288\) 2.24780 + 5.19109i 0.132453 + 0.305888i
\(289\) 3.05626 7.78722i 0.179780 0.458072i
\(290\) −14.8412 7.85427i −0.871503 0.461219i
\(291\) −2.22791 14.7812i −0.130602 0.866488i
\(292\) −1.59112 + 20.9219i −0.0931133 + 1.22436i
\(293\) 17.1179i 1.00004i 0.866014 + 0.500020i \(0.166674\pi\)
−0.866014 + 0.500020i \(0.833326\pi\)
\(294\) 1.32089 + 9.81098i 0.0770356 + 0.572188i
\(295\) 17.3934i 1.01268i
\(296\) 4.38268 + 2.32561i 0.254738 + 0.135174i
\(297\) −0.740628 4.91375i −0.0429756 0.285125i
\(298\) −12.2435 + 23.1348i −0.709245 + 1.34017i
\(299\) −0.447772 + 1.14090i −0.0258953 + 0.0659802i
\(300\) −5.39531 + 0.398330i −0.311499 + 0.0229976i
\(301\) 1.62612 25.4896i 0.0937282 1.46920i
\(302\) −6.96749 + 1.86281i −0.400934 + 0.107193i
\(303\) 5.15904 + 16.7252i 0.296379 + 0.960837i
\(304\) 3.99630 1.22303i 0.229204 0.0701459i
\(305\) 39.7003 + 12.2459i 2.27323 + 0.701200i
\(306\) 3.92164 + 1.37467i 0.224185 + 0.0785849i
\(307\) −7.23271 31.6886i −0.412793 1.80856i −0.570758 0.821119i \(-0.693350\pi\)
0.157965 0.987445i \(-0.449507\pi\)
\(308\) −14.5947 + 21.8726i −0.831610 + 1.24631i
\(309\) −2.74905 + 12.0444i −0.156388 + 0.685180i
\(310\) −2.93507 + 4.66541i −0.166701 + 0.264978i
\(311\) −2.33203 + 1.58995i −0.132237 + 0.0901577i −0.627632 0.778510i \(-0.715976\pi\)
0.495395 + 0.868668i \(0.335023\pi\)
\(312\) 0.885389 4.63732i 0.0501253 0.262537i
\(313\) −15.9190 + 9.19085i −0.899796 + 0.519498i −0.877134 0.480245i \(-0.840548\pi\)
−0.0226623 + 0.999743i \(0.507214\pi\)
\(314\) 7.88804 6.78063i 0.445148 0.382653i
\(315\) 3.74233 + 6.31901i 0.210857 + 0.356036i
\(316\) 11.7753 29.9059i 0.662415 1.68234i
\(317\) 18.8182 + 12.8300i 1.05693 + 0.720606i 0.961493 0.274829i \(-0.0886213\pi\)
0.0954417 + 0.995435i \(0.469574\pi\)
\(318\) 6.38603 + 14.6590i 0.358111 + 0.822037i
\(319\) −14.4576 + 15.5815i −0.809467 + 0.872398i
\(320\) −1.58609 22.1496i −0.0886652 1.23820i
\(321\) −1.43419 2.97812i −0.0800485 0.166222i
\(322\) 2.58354 0.934694i 0.143975 0.0520885i
\(323\) 1.33209 2.76610i 0.0741192 0.153910i
\(324\) 0.591621 1.91049i 0.0328678 0.106139i
\(325\) 3.91016 + 2.25753i 0.216897 + 0.125225i
\(326\) 4.28287 + 22.7041i 0.237206 + 1.25747i
\(327\) −7.88327 1.18821i −0.435946 0.0657082i
\(328\) −1.69647 15.2842i −0.0936721 0.843928i
\(329\) −5.48483 1.18804i −0.302388 0.0654985i
\(330\) −3.63718 + 19.1650i −0.200220 + 1.05500i
\(331\) 18.6476 1.39744i 1.02496 0.0768105i 0.448376 0.893845i \(-0.352003\pi\)
0.576589 + 0.817034i \(0.304383\pi\)
\(332\) −1.02365 2.13165i −0.0561800 0.116989i
\(333\) −0.640864 1.63289i −0.0351191 0.0894821i
\(334\) −27.7261 3.13949i −1.51710 0.171785i
\(335\) −1.25405 1.57253i −0.0685159 0.0859162i
\(336\) −9.11779 + 5.37269i −0.497416 + 0.293104i
\(337\) 5.30322 6.65003i 0.288885 0.362250i −0.616119 0.787653i \(-0.711296\pi\)
0.905004 + 0.425403i \(0.139867\pi\)
\(338\) 10.2196 10.2083i 0.555871 0.555257i
\(339\) −0.904250 + 12.0664i −0.0491121 + 0.655356i
\(340\) −12.7428 10.1851i −0.691076 0.552364i
\(341\) 4.74578 + 5.11474i 0.256999 + 0.276979i
\(342\) −1.35398 0.591626i −0.0732149 0.0319915i
\(343\) −17.9088 + 4.71951i −0.966986 + 0.254830i
\(344\) 25.7876 8.97554i 1.39037 0.483929i
\(345\) 1.49411 1.38633i 0.0804402 0.0746376i
\(346\) −1.70608 + 6.35314i −0.0917195 + 0.341547i
\(347\) 8.95423 + 0.671027i 0.480688 + 0.0360226i 0.312871 0.949796i \(-0.398709\pi\)
0.167817 + 0.985818i \(0.446328\pi\)
\(348\) −7.96697 + 3.11665i −0.427075 + 0.167070i
\(349\) 28.4120 + 22.6578i 1.52086 + 1.21285i 0.905312 + 0.424748i \(0.139637\pi\)
0.615549 + 0.788098i \(0.288934\pi\)
\(350\) −1.98634 9.92435i −0.106174 0.530479i
\(351\) −1.30500 + 1.04070i −0.0696557 + 0.0555486i
\(352\) −27.6057 5.30229i −1.47139 0.282613i
\(353\) 17.0890 6.70692i 0.909554 0.356973i 0.136003 0.990708i \(-0.456574\pi\)
0.773550 + 0.633735i \(0.218479\pi\)
\(354\) 6.71365 + 5.78402i 0.356826 + 0.307417i
\(355\) −0.540953 7.21852i −0.0287108 0.383119i
\(356\) 17.4918 + 11.9540i 0.927061 + 0.633561i
\(357\) −1.64580 + 7.59821i −0.0871052 + 0.402140i
\(358\) 21.8529 + 16.1468i 1.15496 + 0.853385i
\(359\) −4.37145 + 29.0027i −0.230717 + 1.53070i 0.510759 + 0.859724i \(0.329365\pi\)
−0.741475 + 0.670980i \(0.765874\pi\)
\(360\) −4.67261 + 6.30926i −0.246268 + 0.332527i
\(361\) 8.95418 15.5091i 0.471273 0.816268i
\(362\) −3.93611 + 0.441292i −0.206878 + 0.0231938i
\(363\) 12.3374 + 5.94137i 0.647544 + 0.311841i
\(364\) 8.81380 + 0.572057i 0.461969 + 0.0299839i
\(365\) −26.2373 + 12.6352i −1.37332 + 0.661358i
\(366\) 17.9288 11.2516i 0.937154 0.588131i
\(367\) −18.4574 17.1259i −0.963467 0.893967i 0.0309467 0.999521i \(-0.490148\pi\)
−0.994414 + 0.105554i \(0.966338\pi\)
\(368\) 1.99299 + 2.15747i 0.103892 + 0.112466i
\(369\) −3.06275 + 4.49223i −0.159440 + 0.233856i
\(370\) 0.253676 + 6.88135i 0.0131880 + 0.357744i
\(371\) −25.7387 + 15.2433i −1.33629 + 0.791393i
\(372\) 0.824766 + 2.68435i 0.0427621 + 0.139177i
\(373\) −8.31904 14.4090i −0.430743 0.746069i 0.566194 0.824272i \(-0.308415\pi\)
−0.996937 + 0.0782025i \(0.975082\pi\)
\(374\) −16.6219 + 12.2533i −0.859497 + 0.633605i
\(375\) 3.58859 + 5.26350i 0.185314 + 0.271806i
\(376\) −1.10561 5.89675i −0.0570174 0.304101i
\(377\) 6.96072 + 1.58874i 0.358495 + 0.0818242i
\(378\) 3.68355 + 0.656836i 0.189462 + 0.0337840i
\(379\) 1.13606 0.259298i 0.0583554 0.0133192i −0.193244 0.981151i \(-0.561901\pi\)
0.251599 + 0.967832i \(0.419044\pi\)
\(380\) 4.24762 + 3.94995i 0.217898 + 0.202628i
\(381\) 4.83667 15.6801i 0.247790 0.803316i
\(382\) 35.7104 + 1.35594i 1.82710 + 0.0693759i
\(383\) 5.33632 1.64604i 0.272673 0.0841085i −0.155403 0.987851i \(-0.549668\pi\)
0.428076 + 0.903743i \(0.359191\pi\)
\(384\) −9.07694 6.75345i −0.463206 0.344636i
\(385\) −36.4204 2.32346i −1.85615 0.118414i
\(386\) 9.33557 4.92740i 0.475168 0.250798i
\(387\) −8.98643 3.52691i −0.456806 0.179283i
\(388\) 18.6142 + 23.3944i 0.944993 + 1.18767i
\(389\) −3.96177 + 0.597141i −0.200870 + 0.0302762i −0.248706 0.968579i \(-0.580005\pi\)
0.0478366 + 0.998855i \(0.484767\pi\)
\(390\) 6.18587 2.16069i 0.313234 0.109411i
\(391\) 2.15765 0.109117
\(392\) −12.0815 15.6856i −0.610208 0.792241i
\(393\) −11.4246 −0.576293
\(394\) 12.1473 4.24300i 0.611972 0.213759i
\(395\) 44.1096 6.64845i 2.21940 0.334520i
\(396\) 6.18797 + 7.77707i 0.310957 + 0.390813i
\(397\) 12.7051 + 4.98640i 0.637652 + 0.250260i 0.662070 0.749442i \(-0.269678\pi\)
−0.0244179 + 0.999702i \(0.507773\pi\)
\(398\) 20.5286 10.8352i 1.02901 0.543118i
\(399\) 0.785453 2.65039i 0.0393219 0.132685i
\(400\) 8.95335 6.07536i 0.447667 0.303768i
\(401\) 0.905163 0.279206i 0.0452017 0.0139429i −0.272072 0.962277i \(-0.587709\pi\)
0.317274 + 0.948334i \(0.397233\pi\)
\(402\) −1.02400 0.0388817i −0.0510725 0.00193925i
\(403\) 0.690806 2.23954i 0.0344115 0.111559i
\(404\) −25.6346 23.8382i −1.27537 1.18599i
\(405\) 2.70619 0.617671i 0.134472 0.0306923i
\(406\) −7.62721 14.0704i −0.378532 0.698304i
\(407\) 8.49828 + 1.93968i 0.421244 + 0.0961462i
\(408\) −8.16885 + 1.53162i −0.404419 + 0.0758263i
\(409\) −9.09469 13.3395i −0.449703 0.659594i 0.532713 0.846296i \(-0.321172\pi\)
−0.982417 + 0.186702i \(0.940220\pi\)
\(410\) 17.1796 12.6645i 0.848441 0.625454i
\(411\) 11.1680 + 19.3435i 0.550874 + 0.954142i
\(412\) −7.25679 23.6185i −0.357516 1.16360i
\(413\) −9.18653 + 13.8006i −0.452040 + 0.679081i
\(414\) −0.0382550 1.03772i −0.00188013 0.0510013i
\(415\) 1.84879 2.71167i 0.0907534 0.133111i
\(416\) 3.09393 + 8.92089i 0.151692 + 0.437383i
\(417\) −4.72844 4.38735i −0.231553 0.214849i
\(418\) 6.21926 3.90303i 0.304194 0.190903i
\(419\) 12.9880 6.25469i 0.634505 0.305561i −0.0888426 0.996046i \(-0.528317\pi\)
0.723347 + 0.690484i \(0.242603\pi\)
\(420\) −12.7930 7.21666i −0.624233 0.352137i
\(421\) 3.56491 + 1.71677i 0.173743 + 0.0836703i 0.518734 0.854936i \(-0.326404\pi\)
−0.344991 + 0.938606i \(0.612118\pi\)
\(422\) −12.0432 + 1.35020i −0.586252 + 0.0657269i
\(423\) −1.06057 + 1.83696i −0.0515668 + 0.0893162i
\(424\) −25.6989 19.0325i −1.24805 0.924301i
\(425\) 1.18466 7.85973i 0.0574647 0.381253i
\(426\) −2.96616 2.19166i −0.143711 0.106186i
\(427\) 25.0319 + 30.6846i 1.21138 + 1.48493i
\(428\) 5.45809 + 3.73010i 0.263826 + 0.180301i
\(429\) −0.619846 8.27126i −0.0299264 0.399340i
\(430\) 28.7107 + 24.7352i 1.38455 + 1.19284i
\(431\) 13.7637 5.40186i 0.662975 0.260199i −0.00990410 0.999951i \(-0.503153\pi\)
0.672879 + 0.739752i \(0.265057\pi\)
\(432\) 0.881467 + 3.90167i 0.0424096 + 0.187719i
\(433\) −24.6828 + 19.6839i −1.18618 + 0.945948i −0.999336 0.0364418i \(-0.988398\pi\)
−0.186845 + 0.982389i \(0.559826\pi\)
\(434\) −4.79290 + 2.15152i −0.230066 + 0.103276i
\(435\) −9.28291 7.40287i −0.445081 0.354941i
\(436\) 14.8489 5.80883i 0.711131 0.278192i
\(437\) −0.765042 0.0573320i −0.0365969 0.00274256i
\(438\) −3.84794 + 14.3291i −0.183862 + 0.684669i
\(439\) −17.6527 + 16.3793i −0.842517 + 0.781742i −0.977905 0.209051i \(-0.932963\pi\)
0.135387 + 0.990793i \(0.456772\pi\)
\(440\) −12.8245 36.8461i −0.611385 1.75657i
\(441\) −0.368160 + 6.99031i −0.0175314 + 0.332872i
\(442\) 6.35606 + 2.77730i 0.302327 + 0.132103i
\(443\) −8.90459 9.59686i −0.423070 0.455961i 0.485164 0.874423i \(-0.338760\pi\)
−0.908234 + 0.418462i \(0.862569\pi\)
\(444\) 2.74049 + 2.19042i 0.130058 + 0.103953i
\(445\) −2.19739 + 29.3221i −0.104166 + 1.39000i
\(446\) −22.0932 + 22.0689i −1.04615 + 1.04499i
\(447\) −11.5398 + 14.4705i −0.545814 + 0.684430i
\(448\) 10.4401 18.4121i 0.493250 0.869888i
\(449\) −25.1470 31.5334i −1.18676 1.48815i −0.833406 0.552662i \(-0.813612\pi\)
−0.353355 0.935489i \(-0.614959\pi\)
\(450\) −3.80116 0.430414i −0.179188 0.0202899i
\(451\) −9.87065 25.1500i −0.464791 1.18427i
\(452\) −10.4761 21.8154i −0.492753 1.02611i
\(453\) −5.08554 + 0.381109i −0.238940 + 0.0179060i
\(454\) −4.32771 + 22.8035i −0.203109 + 1.07022i
\(455\) 5.44086 + 10.9847i 0.255072 + 0.514972i
\(456\) 2.93715 0.326010i 0.137545 0.0152668i
\(457\) −5.24380 0.790375i −0.245295 0.0369722i 0.0252441 0.999681i \(-0.491964\pi\)
−0.270539 + 0.962709i \(0.587202\pi\)
\(458\) −3.45238 18.3016i −0.161319 0.855176i
\(459\) 2.54477 + 1.46923i 0.118780 + 0.0685776i
\(460\) −1.20584 + 3.89398i −0.0562228 + 0.181558i
\(461\) 16.8345 34.9572i 0.784062 1.62812i 0.00595974 0.999982i \(-0.498103\pi\)
0.778102 0.628138i \(-0.216183\pi\)
\(462\) −13.0081 + 13.2852i −0.605193 + 0.618084i
\(463\) −0.404783 0.840540i −0.0188118 0.0390632i 0.891351 0.453313i \(-0.149758\pi\)
−0.910163 + 0.414250i \(0.864044\pi\)
\(464\) 10.6973 13.3534i 0.496610 0.619915i
\(465\) −2.65096 + 2.85706i −0.122935 + 0.132493i
\(466\) −3.89111 8.93198i −0.180252 0.413766i
\(467\) 7.95438 + 5.42320i 0.368085 + 0.250956i 0.733210 0.680003i \(-0.238021\pi\)
−0.365125 + 0.930959i \(0.618974\pi\)
\(468\) 1.22305 3.10620i 0.0565357 0.143584i
\(469\) −0.164459 1.91004i −0.00759402 0.0881976i
\(470\) 6.31438 5.42789i 0.291261 0.250370i
\(471\) 6.36980 3.67760i 0.293505 0.169455i
\(472\) −17.4087 3.32380i −0.801302 0.152990i
\(473\) 39.6363 27.0236i 1.82248 1.24254i
\(474\) 12.1021 19.2367i 0.555866 0.883572i
\(475\) −0.628895 + 2.75537i −0.0288557 + 0.126425i
\(476\) −4.73124 14.8115i −0.216856 0.678885i
\(477\) 2.51590 + 11.0229i 0.115195 + 0.504704i
\(478\) 7.36259 + 2.58085i 0.336757 + 0.118045i
\(479\) −3.82430 1.17964i −0.174737 0.0538991i 0.206152 0.978520i \(-0.433906\pi\)
−0.380889 + 0.924621i \(0.624382\pi\)
\(480\) 1.80117 15.5986i 0.0822119 0.711975i
\(481\) −0.863030 2.79787i −0.0393508 0.127572i
\(482\) −28.7877 + 7.69662i −1.31125 + 0.350571i
\(483\) 1.91769 0.310835i 0.0872581 0.0141435i
\(484\) −27.3126 + 2.01646i −1.24148 + 0.0916572i
\(485\) −15.1591 + 38.6246i −0.688337 + 1.75385i
\(486\) 0.661508 1.24996i 0.0300066 0.0566995i
\(487\) −3.77151 25.0223i −0.170903 1.13387i −0.895619 0.444822i \(-0.853267\pi\)
0.724715 0.689048i \(-0.241971\pi\)
\(488\) −19.8433 + 37.3953i −0.898265 + 1.69280i
\(489\) 16.3374i 0.738803i
\(490\) 10.4413 25.4179i 0.471690 1.14826i
\(491\) 19.7225i 0.890064i −0.895515 0.445032i \(-0.853192\pi\)
0.895515 0.445032i \(-0.146808\pi\)
\(492\) 0.824586 10.8426i 0.0371752 0.488823i
\(493\) −1.87332 12.4287i −0.0843702 0.559760i
\(494\) −2.17989 1.15365i −0.0980778 0.0519049i
\(495\) −5.03936 + 12.8401i −0.226503 + 0.577119i
\(496\) −4.10866 3.82921i −0.184484 0.171936i
\(497\) 3.38334 6.01317i 0.151764 0.269727i
\(498\) −0.431877 1.61536i −0.0193529 0.0723858i
\(499\) 3.29085 + 10.6687i 0.147319 + 0.477595i 0.998913 0.0466056i \(-0.0148404\pi\)
−0.851595 + 0.524201i \(0.824364\pi\)
\(500\) −11.4730 5.54073i −0.513089 0.247789i
\(501\) −18.8540 5.81569i −0.842335 0.259826i
\(502\) −7.03446 + 20.0678i −0.313963 + 0.895668i
\(503\) 1.35101 + 5.91915i 0.0602384 + 0.263922i 0.996075 0.0885122i \(-0.0282112\pi\)
−0.935837 + 0.352434i \(0.885354\pi\)
\(504\) −7.03975 + 2.53811i −0.313575 + 0.113056i
\(505\) 10.8110 47.3659i 0.481082 2.10776i
\(506\) 4.36776 + 2.74781i 0.194171 + 0.122155i
\(507\) 8.43913 5.75370i 0.374795 0.255531i
\(508\) 7.26740 + 32.0034i 0.322439 + 1.41992i
\(509\) −23.4972 + 13.5661i −1.04149 + 0.601306i −0.920256 0.391317i \(-0.872020\pi\)
−0.121237 + 0.992624i \(0.538686\pi\)
\(510\) −7.51935 8.74741i −0.332962 0.387342i
\(511\) −27.4912 3.83231i −1.21614 0.169531i
\(512\) 22.4723 + 2.64520i 0.993143 + 0.116902i
\(513\) −0.863268 0.588566i −0.0381142 0.0259858i
\(514\) −4.09134 + 1.78234i −0.180461 + 0.0786158i
\(515\) 23.3247 25.1381i 1.02781 1.10772i
\(516\) 19.0950 2.85655i 0.840612 0.125752i
\(517\) −4.57335 9.49666i −0.201136 0.417662i
\(518\) −3.43320 + 5.59391i −0.150846 + 0.245782i
\(519\) −2.01822 + 4.19087i −0.0885898 + 0.183959i
\(520\) −8.56450 + 9.91884i −0.375578 + 0.434970i
\(521\) 13.9578 + 8.05852i 0.611501 + 0.353050i 0.773553 0.633732i \(-0.218478\pi\)
−0.162052 + 0.986782i \(0.551811\pi\)
\(522\) −5.94438 + 1.12134i −0.260179 + 0.0490796i
\(523\) 21.8962 + 3.30033i 0.957456 + 0.144313i 0.609139 0.793064i \(-0.291515\pi\)
0.348317 + 0.937377i \(0.386753\pi\)
\(524\) 19.8005 11.4027i 0.864990 0.498129i
\(525\) −0.0793715 7.15632i −0.00346406 0.312327i
\(526\) 35.1211 + 6.66537i 1.53135 + 0.290624i
\(527\) −4.11434 + 0.308327i −0.179224 + 0.0134309i
\(528\) −18.4869 7.30274i −0.804539 0.317811i
\(529\) 8.20586 + 20.9082i 0.356777 + 0.909052i
\(530\) 4.99377 44.1020i 0.216915 1.91567i
\(531\) 3.90685 + 4.89903i 0.169543 + 0.212600i
\(532\) 1.28400 + 5.37748i 0.0556686 + 0.233143i
\(533\) −5.65826 + 7.09523i −0.245086 + 0.307329i
\(534\) 10.5873 + 10.5990i 0.458157 + 0.458664i
\(535\) −0.685668 + 9.14961i −0.0296440 + 0.395572i
\(536\) 1.81356 0.954653i 0.0783338 0.0412347i
\(537\) 13.0681 + 14.0840i 0.563929 + 0.607770i
\(538\) −0.211950 + 0.485065i −0.00913783 + 0.0209126i
\(539\) −27.6702 21.0794i −1.19184 0.907955i
\(540\) −4.07376 + 3.77153i −0.175307 + 0.162301i
\(541\) 27.6878 25.6905i 1.19039 1.10452i 0.198151 0.980171i \(-0.436506\pi\)
0.992239 0.124349i \(-0.0396842\pi\)
\(542\) −14.0009 3.75982i −0.601390 0.161498i
\(543\) −2.79286 0.209296i −0.119853 0.00898174i
\(544\) 12.6292 10.8077i 0.541473 0.463378i
\(545\) 17.3015 + 13.7975i 0.741115 + 0.591019i
\(546\) 6.04930 + 1.55277i 0.258886 + 0.0664524i
\(547\) 18.9733 15.1307i 0.811240 0.646942i −0.127396 0.991852i \(-0.540662\pi\)
0.938636 + 0.344910i \(0.112090\pi\)
\(548\) −38.6622 22.3786i −1.65157 0.955967i
\(549\) 13.9327 5.46817i 0.594632 0.233376i
\(550\) 12.4077 14.4019i 0.529065 0.614099i
\(551\) 0.333980 + 4.45665i 0.0142280 + 0.189860i
\(552\) 1.10204 + 1.76035i 0.0469059 + 0.0749256i
\(553\) 38.5097 + 18.0219i 1.63760 + 0.766371i
\(554\) −4.88706 + 6.61409i −0.207631 + 0.281006i
\(555\) −0.725710 + 4.81477i −0.0308047 + 0.204376i
\(556\) 12.5741 + 2.88456i 0.533259 + 0.122333i
\(557\) 15.8160 27.3941i 0.670146 1.16073i −0.307717 0.951478i \(-0.599565\pi\)
0.977862 0.209249i \(-0.0671018\pi\)
\(558\) 0.221238 + 1.97333i 0.00936573 + 0.0835378i
\(559\) −14.5179 6.99144i −0.614041 0.295706i
\(560\) 29.3750 0.260902i 1.24132 0.0110251i
\(561\) −13.1559 + 6.33553i −0.555441 + 0.267486i
\(562\) 13.7197 + 21.8616i 0.578730 + 0.922174i
\(563\) −14.1840 13.1609i −0.597786 0.554664i 0.322172 0.946681i \(-0.395587\pi\)
−0.919958 + 0.392017i \(0.871778\pi\)
\(564\) 0.00468590 4.24228i 0.000197312 0.178632i
\(565\) 18.9206 27.7514i 0.795995 1.16751i
\(566\) −11.6942 + 0.431100i −0.491546 + 0.0181205i
\(567\) 2.47343 + 0.939228i 0.103874 + 0.0394439i
\(568\) 7.32828 + 0.837997i 0.307488 + 0.0351616i
\(569\) −11.1133 19.2489i −0.465896 0.806955i 0.533346 0.845897i \(-0.320935\pi\)
−0.999241 + 0.0389422i \(0.987601\pi\)
\(570\) 2.43372 + 3.30139i 0.101937 + 0.138280i
\(571\) 8.49018 + 12.4528i 0.355303 + 0.521134i 0.961728 0.274007i \(-0.0883492\pi\)
−0.606425 + 0.795141i \(0.707397\pi\)
\(572\) 9.32972 + 13.7167i 0.390095 + 0.573525i
\(573\) 24.6357 + 5.62294i 1.02917 + 0.234902i
\(574\) 20.3199 0.974847i 0.848136 0.0406893i
\(575\) −1.93643 + 0.441977i −0.0807546 + 0.0184317i
\(576\) −5.42192 5.88241i −0.225913 0.245101i
\(577\) −7.01060 + 22.7278i −0.291855 + 0.946170i 0.684319 + 0.729182i \(0.260099\pi\)
−0.976174 + 0.216988i \(0.930377\pi\)
\(578\) −0.448889 + 11.8221i −0.0186713 + 0.491734i
\(579\) 7.13270 2.20015i 0.296425 0.0914350i
\(580\) 23.4774 + 3.56518i 0.974847 + 0.148036i
\(581\) 2.89910 1.17508i 0.120275 0.0487507i
\(582\) 9.86767 + 18.6955i 0.409028 + 0.774955i
\(583\) −52.3004 20.5264i −2.16606 0.850116i
\(584\) −7.63256 28.6750i −0.315837 1.18658i
\(585\) 4.58148 0.690546i 0.189421 0.0285506i
\(586\) −7.98290 22.8543i −0.329771 0.944103i
\(587\) 17.1712 0.708731 0.354365 0.935107i \(-0.384697\pi\)
0.354365 + 0.935107i \(0.384697\pi\)
\(588\) −6.33886 12.4827i −0.261410 0.514780i
\(589\) 1.46703 0.0604477
\(590\) −8.11136 23.2221i −0.333939 0.956037i
\(591\) 8.99673 1.35604i 0.370076 0.0557800i
\(592\) −6.93591 1.06110i −0.285064 0.0436108i
\(593\) −3.85779 1.51407i −0.158420 0.0621754i 0.284806 0.958585i \(-0.408071\pi\)
−0.443226 + 0.896410i \(0.646166\pi\)
\(594\) 3.28034 + 6.21501i 0.134594 + 0.255005i
\(595\) 14.5019 15.9812i 0.594519 0.655164i
\(596\) 5.55750 36.5973i 0.227644 1.49908i
\(597\) 15.6846 4.83805i 0.641926 0.198008i
\(598\) 0.0657667 1.73205i 0.00268940 0.0708288i
\(599\) −12.5822 + 40.7904i −0.514093 + 1.66665i 0.210596 + 0.977573i \(0.432459\pi\)
−0.724689 + 0.689076i \(0.758017\pi\)
\(600\) 7.01758 3.04791i 0.286492 0.124430i
\(601\) −15.5000 + 3.53778i −0.632259 + 0.144309i −0.526627 0.850096i \(-0.676544\pi\)
−0.105632 + 0.994405i \(0.533686\pi\)
\(602\) 9.71598 + 34.7898i 0.395994 + 1.41793i
\(603\) −0.706432 0.161239i −0.0287682 0.00656614i
\(604\) 8.43365 5.73633i 0.343160 0.233408i
\(605\) −21.4119 31.4054i −0.870516 1.27681i
\(606\) −14.6876 19.9241i −0.596645 0.809360i
\(607\) 4.54878 + 7.87872i 0.184629 + 0.319787i 0.943452 0.331510i \(-0.107558\pi\)
−0.758822 + 0.651298i \(0.774225\pi\)
\(608\) −4.76515 + 3.49655i −0.193252 + 0.141804i
\(609\) −3.45549 10.7766i −0.140024 0.436690i
\(610\) −58.7152 + 2.16449i −2.37731 + 0.0876378i
\(611\) −1.99445 + 2.92531i −0.0806866 + 0.118346i
\(612\) −5.87690 0.00649144i −0.237560 0.000262401i
\(613\) −14.8010 13.7333i −0.597806 0.554683i 0.322158 0.946686i \(-0.395592\pi\)
−0.919964 + 0.392003i \(0.871782\pi\)
\(614\) 24.4344 + 38.9348i 0.986091 + 1.57128i
\(615\) 13.5973 6.54811i 0.548296 0.264045i
\(616\) 9.28529 36.0086i 0.374115 1.45083i
\(617\) 7.05649 + 3.39823i 0.284084 + 0.136807i 0.570500 0.821298i \(-0.306750\pi\)
−0.286416 + 0.958105i \(0.592464\pi\)
\(618\) −1.94658 17.3626i −0.0783030 0.698425i
\(619\) −18.3723 + 31.8217i −0.738443 + 1.27902i 0.214753 + 0.976668i \(0.431105\pi\)
−0.953196 + 0.302353i \(0.902228\pi\)
\(620\) 1.74294 7.59761i 0.0699980 0.305127i
\(621\) 0.109439 0.726078i 0.00439162 0.0291365i
\(622\) 2.37204 3.21029i 0.0951102 0.128721i
\(623\) −17.2304 + 22.1047i −0.690320 + 0.885607i
\(624\) 0.980512 + 6.60424i 0.0392519 + 0.264381i
\(625\) −2.33217 31.1207i −0.0932870 1.24483i
\(626\) 16.9675 19.6946i 0.678159 0.787155i
\(627\) 4.83306 1.89683i 0.193014 0.0757523i
\(628\) −7.36927 + 12.7315i −0.294066 + 0.508041i
\(629\) −4.02995 + 3.21377i −0.160684 + 0.128142i
\(630\) −7.94329 6.69135i −0.316468 0.266590i
\(631\) 34.2227 + 27.2917i 1.36239 + 1.08647i 0.987195 + 0.159519i \(0.0509942\pi\)
0.375191 + 0.926948i \(0.377577\pi\)
\(632\) −1.77483 + 45.4191i −0.0705988 + 1.80667i
\(633\) −8.54520 0.640374i −0.339641 0.0254526i
\(634\) −31.1076 8.35368i −1.23544 0.331767i
\(635\) −33.3892 + 30.9807i −1.32501 + 1.22943i
\(636\) −15.3623 16.5933i −0.609153 0.657967i
\(637\) −1.48474 + 11.5894i −0.0588276 + 0.459188i
\(638\) 12.0360 27.5453i 0.476510 1.09053i
\(639\) −1.77377 1.91167i −0.0701693 0.0756245i
\(640\) 12.4470 + 28.8325i 0.492012 + 1.13970i
\(641\) −1.90320 + 25.3964i −0.0751718 + 1.00310i 0.824310 + 0.566139i \(0.191563\pi\)
−0.899482 + 0.436959i \(0.856056\pi\)
\(642\) 3.30364 + 3.30729i 0.130384 + 0.130528i
\(643\) 13.1527 16.4930i 0.518693 0.650420i −0.451638 0.892201i \(-0.649160\pi\)
0.970331 + 0.241781i \(0.0777316\pi\)
\(644\) −3.01342 + 2.45275i −0.118745 + 0.0966518i
\(645\) 16.7075 + 20.9506i 0.657858 + 0.824928i
\(646\) −0.488515 + 4.31427i −0.0192203 + 0.169743i
\(647\) −5.78889 14.7498i −0.227585 0.579876i 0.770776 0.637106i \(-0.219869\pi\)
−0.998361 + 0.0572295i \(0.981773\pi\)
\(648\) 0.101075 + 2.82662i 0.00397061 + 0.111040i
\(649\) −31.0507 + 2.32693i −1.21885 + 0.0913401i
\(650\) −6.27329 1.19056i −0.246059 0.0466976i
\(651\) −3.61237 + 0.866758i −0.141580 + 0.0339709i
\(652\) −16.3061 28.3152i −0.638597 1.10891i
\(653\) −16.1213 2.42990i −0.630875 0.0950892i −0.174182 0.984713i \(-0.555728\pi\)
−0.456693 + 0.889624i \(0.650966\pi\)
\(654\) 11.0792 2.08995i 0.433229 0.0817236i
\(655\) 27.4635 + 15.8561i 1.07309 + 0.619548i
\(656\) 9.39273 + 19.6149i 0.366725 + 0.765835i
\(657\) −4.55194 + 9.45220i −0.177588 + 0.368766i
\(658\) 7.87688 0.971678i 0.307073 0.0378800i
\(659\) 8.19896 + 17.0253i 0.319386 + 0.663212i 0.997418 0.0718210i \(-0.0228810\pi\)
−0.678032 + 0.735033i \(0.737167\pi\)
\(660\) −4.08152 27.2836i −0.158873 1.06201i
\(661\) −7.99548 + 8.61708i −0.310988 + 0.335165i −0.869133 0.494578i \(-0.835323\pi\)
0.558145 + 0.829743i \(0.311513\pi\)
\(662\) −24.2449 + 10.5620i −0.942305 + 0.410504i
\(663\) 4.05248 + 2.76294i 0.157385 + 0.107304i
\(664\) 2.36077 + 2.36861i 0.0916158 + 0.0919199i
\(665\) −5.56661 + 5.28115i −0.215864 + 0.204794i
\(666\) 1.61712 + 1.88123i 0.0626622 + 0.0728961i
\(667\) −2.72005 + 1.57042i −0.105321 + 0.0608069i
\(668\) 38.4815 8.73843i 1.48889 0.338100i
\(669\) −18.2442 + 12.4387i −0.705362 + 0.480908i
\(670\) 2.40763 + 1.51467i 0.0930150 + 0.0585169i
\(671\) −16.5503 + 72.5116i −0.638917 + 2.79928i
\(672\) 9.66772 11.4252i 0.372940 0.440737i
\(673\) 5.35931 + 23.4807i 0.206586 + 0.905114i 0.966819 + 0.255463i \(0.0822279\pi\)
−0.760232 + 0.649651i \(0.774915\pi\)
\(674\) −3.97916 + 11.3517i −0.153272 + 0.437250i
\(675\) −2.58482 0.797313i −0.0994899 0.0306886i
\(676\) −8.88363 + 18.3950i −0.341678 + 0.707502i
\(677\) 9.82608 + 31.8554i 0.377647 + 1.22430i 0.922575 + 0.385818i \(0.126081\pi\)
−0.544928 + 0.838483i \(0.683443\pi\)
\(678\) −4.41985 16.5316i −0.169743 0.634894i
\(679\) −32.4279 + 22.6398i −1.24447 + 0.868836i
\(680\) 21.7629 + 7.65565i 0.834567 + 0.293581i
\(681\) −5.99610 + 15.2778i −0.229771 + 0.585447i
\(682\) −8.72139 4.61555i −0.333959 0.176739i
\(683\) 2.21226 + 14.6774i 0.0846496 + 0.561614i 0.990446 + 0.137901i \(0.0440354\pi\)
−0.905796 + 0.423713i \(0.860726\pi\)
\(684\) 2.08362 + 0.158460i 0.0796691 + 0.00605887i
\(685\) 61.9997i 2.36889i
\(686\) 21.7093 14.6528i 0.828866 0.559447i
\(687\) 13.1694i 0.502444i
\(688\) −30.2436 + 24.0093i −1.15302 + 0.915347i
\(689\) 2.81274 + 18.6613i 0.107157 + 0.710940i
\(690\) −1.34829 + 2.54768i −0.0513285 + 0.0969885i
\(691\) 3.92447 9.99939i 0.149294 0.380395i −0.836589 0.547831i \(-0.815454\pi\)
0.985883 + 0.167436i \(0.0535489\pi\)
\(692\) −0.684968 9.27777i −0.0260386 0.352688i
\(693\) −10.7801 + 7.52621i −0.409502 + 0.285897i
\(694\) −12.2678 + 3.27989i −0.465680 + 0.124503i
\(695\) 5.27753 + 17.1093i 0.200188 + 0.648994i
\(696\) 9.18334 7.87646i 0.348094 0.298556i
\(697\) 15.2665 + 4.70908i 0.578259 + 0.178369i
\(698\) −48.4996 17.0008i −1.83574 0.643491i
\(699\) −1.53298 6.71643i −0.0579827 0.254039i
\(700\) 7.28018 + 12.3238i 0.275165 + 0.465795i
\(701\) 4.12818 18.0868i 0.155919 0.683127i −0.835177 0.549981i \(-0.814635\pi\)
0.991096 0.133146i \(-0.0425080\pi\)
\(702\) 1.25699 1.99804i 0.0474420 0.0754110i
\(703\) 1.51430 1.03243i 0.0571130 0.0389390i
\(704\) 39.3294 5.79473i 1.48228 0.218397i
\(705\) 5.09902 2.94392i 0.192040 0.110875i
\(706\) −19.6879 + 16.9239i −0.740963 + 0.636939i
\(707\) 33.5948 31.8720i 1.26346 1.19867i
\(708\) −11.6608 4.59141i −0.438241 0.172556i
\(709\) −39.5643 26.9745i −1.48587 1.01305i −0.989436 0.144971i \(-0.953691\pi\)
−0.496431 0.868076i \(-0.665356\pi\)
\(710\) 4.08857 + 9.38525i 0.153441 + 0.352222i
\(711\) 10.9306 11.7804i 0.409930 0.441799i
\(712\) −28.9281 7.80267i −1.08413 0.292417i
\(713\) 0.447335 + 0.928900i 0.0167528 + 0.0347876i
\(714\) −1.34608 10.9120i −0.0503758 0.408370i
\(715\) −9.98959 + 20.7436i −0.373589 + 0.775767i
\(716\) −36.7060 11.3667i −1.37177 0.424795i
\(717\) 4.77762 + 2.75836i 0.178424 + 0.103013i
\(718\) −7.68898 40.7604i −0.286950 1.52117i
\(719\) −33.7820 5.09181i −1.25985 0.189892i −0.515041 0.857165i \(-0.672223\pi\)
−0.744813 + 0.667273i \(0.767461\pi\)
\(720\) 3.29614 10.6026i 0.122840 0.395136i
\(721\) 31.7838 7.62626i 1.18369 0.284017i
\(722\) −4.72219 + 24.8821i −0.175742 + 0.926016i
\(723\) −21.0121 + 1.57464i −0.781447 + 0.0585614i
\(724\) 5.04935 2.42477i 0.187658 0.0901159i
\(725\) 4.22717 + 10.7707i 0.156993 + 0.400012i
\(726\) −19.2425 2.17887i −0.714156 0.0808655i
\(727\) 5.69934 + 7.14674i 0.211377 + 0.265058i 0.876205 0.481938i \(-0.160067\pi\)
−0.664829 + 0.746996i \(0.731495\pi\)
\(728\) −12.0342 + 3.34654i −0.446016 + 0.124031i
\(729\) 0.623490 0.781831i 0.0230922 0.0289567i
\(730\) 29.1373 29.1051i 1.07842 1.07723i
\(731\) −2.11988 + 28.2878i −0.0784065 + 1.04626i
\(732\) −18.6898 + 23.3832i −0.690794 + 0.864268i
\(733\) 21.2555 + 22.9080i 0.785090 + 0.846125i 0.991196 0.132404i \(-0.0422697\pi\)
−0.206106 + 0.978530i \(0.566079\pi\)
\(734\) 32.6293 + 14.2575i 1.20437 + 0.526252i
\(735\) 10.5868 16.2931i 0.390501 0.600979i
\(736\) −3.66699 1.95103i −0.135167 0.0719160i
\(737\) 2.63951 2.44911i 0.0972277 0.0902141i
\(738\) 1.99417 7.42593i 0.0734063 0.273352i
\(739\) −11.1389 0.834744i −0.409750 0.0307065i −0.131739 0.991284i \(-0.542056\pi\)
−0.278011 + 0.960578i \(0.589675\pi\)
\(740\) −3.54779 9.06906i −0.130419 0.333385i
\(741\) −1.36348 1.08734i −0.0500889 0.0399445i
\(742\) 27.2553 32.3547i 1.00057 1.18778i
\(743\) −0.966449 + 0.770718i −0.0354556 + 0.0282749i −0.641057 0.767493i \(-0.721504\pi\)
0.605602 + 0.795768i \(0.292932\pi\)
\(744\) −2.35299 3.19928i −0.0862650 0.117291i
\(745\) 47.8241 18.7696i 1.75214 0.687664i
\(746\) 17.8264 + 15.3580i 0.652672 + 0.562297i
\(747\) −0.0883570 1.17904i −0.00323281 0.0431389i
\(748\) 16.4777 24.1111i 0.602486 0.881591i
\(749\) −5.37652 + 6.89751i −0.196454 + 0.252029i
\(750\) −7.24579 5.35382i −0.264579 0.195494i
\(751\) 5.80467 38.5115i 0.211815 1.40530i −0.589841 0.807519i \(-0.700810\pi\)
0.801657 0.597785i \(-0.203952\pi\)
\(752\) 4.22604 + 7.35721i 0.154108 + 0.268290i
\(753\) −7.51830 + 13.0221i −0.273982 + 0.474551i
\(754\) −10.0342 + 1.12497i −0.365425 + 0.0409692i
\(755\) 12.7541 + 6.14204i 0.464169 + 0.223532i
\(756\) −5.22426 + 0.840869i −0.190005 + 0.0305821i
\(757\) −18.0674 + 8.70080i −0.656671 + 0.316236i −0.732382 0.680894i \(-0.761592\pi\)
0.0757112 + 0.997130i \(0.475877\pi\)
\(758\) −1.39584 + 0.875990i −0.0506992 + 0.0318174i
\(759\) 2.67477 + 2.48183i 0.0970882 + 0.0900846i
\(760\) −7.51309 3.29276i −0.272528 0.119441i
\(761\) −10.2551 + 15.0415i −0.371748 + 0.545254i −0.965839 0.259144i \(-0.916560\pi\)
0.594091 + 0.804398i \(0.297512\pi\)
\(762\) 0.854892 + 23.1902i 0.0309695 + 0.840093i
\(763\) 6.44035 + 20.0855i 0.233156 + 0.727143i
\(764\) −48.3097 + 14.8432i −1.74778 + 0.537006i
\(765\) −4.07826 7.06375i −0.147450 0.255391i
\(766\) −6.35695 + 4.68622i −0.229686 + 0.169320i
\(767\) 5.89182 + 8.64171i 0.212741 + 0.312034i
\(768\) 15.2682 + 4.78359i 0.550943 + 0.172613i
\(769\) −5.68570 1.29772i −0.205032 0.0467971i 0.118772 0.992922i \(-0.462104\pi\)
−0.323803 + 0.946124i \(0.604962\pi\)
\(770\) 49.7087 13.8825i 1.79138 0.500290i
\(771\) −3.07650 + 0.702190i </